Atkin-Lehner |
2+ 3+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
25296b |
Isogeny class |
Conductor |
25296 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
-6667892441856 = -1 · 28 · 313 · 17 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ -3 2 5 -7 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1023,-123939] |
[a1,a2,a3,a4,a6] |
j |
462046886912/26046454851 |
j-invariant |
L |
0.7166902932726 |
L(r)(E,1)/r! |
Ω |
0.35834514663634 |
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 |
12648b1 101184be1 75888n1 |
Quadratic twists by: -4 8 -3 |