Atkin-Lehner |
2- 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
26640be |
Isogeny class |
Conductor |
26640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-1251160051050086400 = -1 · 236 · 39 · 52 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-121683,56241682] |
[a1,a2,a3,a4,a6] |
j |
-66730743078481/419010969600 |
j-invariant |
L |
0.9400581511789 |
L(r)(E,1)/r! |
Ω |
0.23501453779474 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3330f1 106560fo1 8880ba1 |
Quadratic twists by: -4 8 -3 |