Atkin-Lehner |
3- 5- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
63825s |
Isogeny class |
Conductor |
63825 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
1040256 |
Modular degree for the optimal curve |
Δ |
582068103863257125 = 33 · 53 · 237 · 373 |
Discriminant |
Eigenvalues |
1 3- 5- -1 -3 1 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1335511,592798193] |
[a1,a2,a3,a4,a6] |
Generators |
[1177:24941:1] |
Generators of the group modulo torsion |
j |
2107442043759797892701/4656544830906057 |
j-invariant |
L |
8.613326437602 |
L(r)(E,1)/r! |
Ω |
0.2910797804982 |
Real period |
R |
0.2348487879026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999825 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63825d1 |
Quadratic twists by: 5 |