Atkin-Lehner |
3- 5- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
31605bc |
Isogeny class |
Conductor |
31605 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-43026004035 = -1 · 35 · 5 · 77 · 43 |
Discriminant |
Eigenvalues |
2 3- 5- 7- 2 -3 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1780,-31181] |
[a1,a2,a3,a4,a6] |
Generators |
[394:437:8] |
Generators of the group modulo torsion |
j |
-5304438784/365715 |
j-invariant |
L |
14.22450070989 |
L(r)(E,1)/r! |
Ω |
0.36603390115722 |
Real period |
R |
1.9430578240046 |
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 |
94815x1 4515b1 |
Quadratic twists by: -3 -7 |