Atkin-Lehner |
2- 5+ 29+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
76850f |
Isogeny class |
Conductor |
76850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-960625000 = -1 · 23 · 57 · 29 · 53 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -6 -1 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,245,-253] |
[a1,a2,a3,a4,a6] |
Generators |
[29:160:1] |
Generators of the group modulo torsion |
j |
104487111/61480 |
j-invariant |
L |
8.6415163853997 |
L(r)(E,1)/r! |
Ω |
0.91999058809049 |
Real period |
R |
1.5655081140936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002462 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15370a1 |
Quadratic twists by: 5 |