Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
25350bi |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
120598608669505200 = 24 · 37 · 52 · 1310 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 5 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-157681,-17380972] |
[a1,a2,a3,a4,a6] |
j |
125801065/34992 |
j-invariant |
L |
3.4245982488172 |
L(r)(E,1)/r! |
Ω |
0.2446141606298 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76050ez1 25350ck1 25350da1 |
Quadratic twists by: -3 5 13 |