Atkin-Lehner |
5+ 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
25025b |
Isogeny class |
Conductor |
25025 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
15956865925 = 52 · 74 · 112 · 133 |
Discriminant |
Eigenvalues |
-2 -1 5+ 7+ 11+ 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2828,58518] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-72:1] [-42:318:1] |
Generators of the group modulo torsion |
j |
100086494679040/638274637 |
j-invariant |
L |
3.4457166633593 |
L(r)(E,1)/r! |
Ω |
1.2464156588251 |
Real period |
R |
0.23037503841259 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25025u1 |
Quadratic twists by: 5 |