Atkin-Lehner |
2+ 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470bt |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
578027520 |
Modular degree for the optimal curve |
Δ |
9.4450251473662E+29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-211251908295,-37372153247923779] |
[a1,a2,a3,a4,a6] |
Generators |
[-2754160116449206067406703170:2643772577396420213466242337:10384124023929849693625] |
Generators of the group modulo torsion |
j |
296304326013275547793071733369/268420373544960000000 |
j-invariant |
L |
3.7904748452413 |
L(r)(E,1)/r! |
Ω |
0.0070420550878242 |
Real period |
R |
33.641412136489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013939 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35490du1 8190bm1 |
Quadratic twists by: -3 13 |