Atkin-Lehner |
5+ 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
58835d |
Isogeny class |
Conductor |
58835 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
61296312 |
Modular degree for the optimal curve |
Δ |
-1.3270491608071E+26 |
Discriminant |
Eigenvalues |
2 -3 5+ 7+ 1 -7 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-36734893,-560830904991] |
[a1,a2,a3,a4,a6] |
Generators |
[23508218085887799860200252738336371964959382713545404389953730163231005969977409528559606229166847034960339267092947880701486611518:2525022465085529285164420499853994164657995769670094465189410342443684975369272952163133979013384959247096885409356185783686001268333:1467733307505520367850540944660349910453809610073492088966226466382498918240126019940393030207501407881999626615703979258628984] |
Generators of the group modulo torsion |
j |
-408433618944/9886633715 |
j-invariant |
L |
5.152561958186 |
L(r)(E,1)/r! |
Ω |
0.025299276244102 |
Real period |
R |
203.66440164023 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58835g1 |
Quadratic twists by: 41 |