Atkin-Lehner |
3- 5+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
59925u |
Isogeny class |
Conductor |
59925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1857600 |
Modular degree for the optimal curve |
Δ |
-41315267841796875 = -1 · 3 · 510 · 172 · 474 |
Discriminant |
Eigenvalues |
0 3- 5+ 5 6 -5 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2263333,-1311393131] |
[a1,a2,a3,a4,a6] |
j |
-131301360900505600/4230683427 |
j-invariant |
L |
4.4311258598897 |
L(r)(E,1)/r! |
Ω |
0.061543414753834 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59925i1 |
Quadratic twists by: 5 |