Atkin-Lehner |
2+ 5+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
125800b |
Isogeny class |
Conductor |
125800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1382400 |
Modular degree for the optimal curve |
Δ |
914919812500000000 = 28 · 512 · 172 · 373 |
Discriminant |
Eigenvalues |
2+ 1 5+ 3 -1 6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-283633,-35626637] |
[a1,a2,a3,a4,a6] |
j |
630863683818496/228729953125 |
j-invariant |
L |
3.4101429144699 |
L(r)(E,1)/r! |
Ω |
0.21313400140012 |
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 |
25160h1 |
Quadratic twists by: 5 |