Atkin-Lehner |
3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
7605n |
Isogeny class |
Conductor |
7605 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
-130455225724224375 = -1 · 39 · 54 · 139 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 0 13- 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-153653,-28934044] |
[a1,a2,a3,a4,a6] |
Generators |
[4747890:-50361613:9261] |
Generators of the group modulo torsion |
j |
-51895117/16875 |
j-invariant |
L |
2.6331627723017 |
L(r)(E,1)/r! |
Ω |
0.11860625073237 |
Real period |
R |
11.100438450935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121680ej1 2535m1 38025by1 7605v1 |
Quadratic twists by: -4 -3 5 13 |