Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
7260t |
Isogeny class |
Conductor |
7260 |
Conductor |
∏ cp |
105 |
Product of Tamagawa factors cp |
deg |
55440 |
Modular degree for the optimal curve |
Δ |
-23440143637350000 = -1 · 24 · 37 · 55 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -2 -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8430,-7357275] |
[a1,a2,a3,a4,a6] |
Generators |
[645:16335:1] |
Generators of the group modulo torsion |
j |
19314944/6834375 |
j-invariant |
L |
5.2935063089523 |
L(r)(E,1)/r! |
Ω |
0.17808834548993 |
Real period |
R |
0.28308615962967 |
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 |
29040cp1 116160k1 21780i1 36300g1 |
Quadratic twists by: -4 8 -3 5 |