Atkin-Lehner |
2- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
49600cd |
Isogeny class |
Conductor |
49600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-3224580915200 = -1 · 227 · 52 · 312 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 -1 0 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1953,-93217] |
[a1,a2,a3,a4,a6] |
Generators |
[7595:15872:125] |
Generators of the group modulo torsion |
j |
-125768785/492032 |
j-invariant |
L |
6.326368733396 |
L(r)(E,1)/r! |
Ω |
0.32799190731798 |
Real period |
R |
2.4110231808456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49600g1 12400v1 49600cw1 |
Quadratic twists by: -4 8 5 |