Atkin-Lehner |
3+ 11+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
37323a |
Isogeny class |
Conductor |
37323 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7424 |
Modular degree for the optimal curve |
Δ |
42212313 = 33 · 11 · 132 · 292 |
Discriminant |
Eigenvalues |
1 3+ 0 4 11+ 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-87,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:145:8] |
Generators of the group modulo torsion |
j |
2714704875/1563419 |
j-invariant |
L |
7.5221374266254 |
L(r)(E,1)/r! |
Ω |
1.7009778533564 |
Real period |
R |
2.2111215063096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37323b1 |
Quadratic twists by: -3 |