Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
124992v |
Isogeny class |
Conductor |
124992 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-900317376 = -1 · 26 · 33 · 75 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7- 4 -1 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1602,24722] |
[a1,a2,a3,a4,a6] |
Generators |
[17:49:1] |
Generators of the group modulo torsion |
j |
-263128269312/521017 |
j-invariant |
L |
8.8158080638812 |
L(r)(E,1)/r! |
Ω |
1.5772272643826 |
Real period |
R |
0.55894342397603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999869071 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124992b1 62496bc1 124992x1 |
Quadratic twists by: -4 8 -3 |