Atkin-Lehner |
2+ 5+ 17+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
25160b |
Isogeny class |
Conductor |
25160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10496 |
Modular degree for the optimal curve |
Δ |
68435200 = 28 · 52 · 172 · 37 |
Discriminant |
Eigenvalues |
2+ -1 5+ -3 -5 2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1121,14821] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-10:1] [-19:170:1] |
Generators of the group modulo torsion |
j |
609099080704/267325 |
j-invariant |
L |
5.7620478351331 |
L(r)(E,1)/r! |
Ω |
1.9222060753871 |
Real period |
R |
0.18735139499721 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50320b1 125800j1 |
Quadratic twists by: -4 5 |