Atkin-Lehner |
2+ 3+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
124872c |
Isogeny class |
Conductor |
124872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
321024 |
Modular degree for the optimal curve |
Δ |
14600412102672 = 24 · 32 · 119 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 0 5 11+ 4 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15528,-716571] |
[a1,a2,a3,a4,a6] |
j |
10976000/387 |
j-invariant |
L |
3.4288477953609 |
L(r)(E,1)/r! |
Ω |
0.42860607893368 |
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 |
124872v1 |
Quadratic twists by: -11 |