Atkin-Lehner |
3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
7605m |
Isogeny class |
Conductor |
7605 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-5405443875 = -1 · 39 · 53 · 133 |
Discriminant |
Eigenvalues |
0 3- 5+ -3 -3 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,312,-2831] |
[a1,a2,a3,a4,a6] |
Generators |
[13:58:1] |
Generators of the group modulo torsion |
j |
2097152/3375 |
j-invariant |
L |
2.5441312912692 |
L(r)(E,1)/r! |
Ω |
0.71540296236168 |
Real period |
R |
0.88905533843144 |
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 |
121680ek1 2535d1 38025bw1 7605u1 |
Quadratic twists by: -4 -3 5 13 |