Atkin-Lehner |
2- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12880l |
Isogeny class |
Conductor |
12880 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
59904 |
Modular degree for the optimal curve |
Δ |
13954088960000 = 218 · 54 · 7 · 233 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 6 -4 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29456,-1927744] |
[a1,a2,a3,a4,a6] |
j |
690080604747409/3406760000 |
j-invariant |
L |
2.9162443775932 |
L(r)(E,1)/r! |
Ω |
0.36453054719915 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1610e1 51520ca1 115920eq1 64400ca1 |
Quadratic twists by: -4 8 -3 5 |