Atkin-Lehner |
3- 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
78351t |
Isogeny class |
Conductor |
78351 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-301296640371363 = -1 · 37 · 76 · 134 · 41 |
Discriminant |
Eigenvalues |
2 3- 0 7- -1 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,13312,-585469] |
[a1,a2,a3,a4,a6] |
Generators |
[506:5729:8] |
Generators of the group modulo torsion |
j |
2217342464000/2560979187 |
j-invariant |
L |
15.981318199097 |
L(r)(E,1)/r! |
Ω |
0.29370472188893 |
Real period |
R |
0.97165847484031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000096 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1599b1 |
Quadratic twists by: -7 |