Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410cu |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
144987943007754000 = 24 · 312 · 53 · 7 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-141875,-9363375] |
[a1,a2,a3,a4,a6] |
Generators |
[-320:1975:1] |
Generators of the group modulo torsion |
j |
178272935636041/81841914000 |
j-invariant |
L |
10.12284863596 |
L(r)(E,1)/r! |
Ω |
0.2569874897079 |
Real period |
R |
1.0941787096616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
76230s1 127050bd1 2310l1 |
Quadratic twists by: -3 5 -11 |