Atkin-Lehner |
2- 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
70800x |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
41290560000000 = 212 · 37 · 57 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -3 -3 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-50533,-4344563] |
[a1,a2,a3,a4,a6] |
j |
222985990144/645165 |
j-invariant |
L |
1.2739154073001 |
L(r)(E,1)/r! |
Ω |
0.31847885199917 |
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 |
4425k1 14160v1 |
Quadratic twists by: -4 5 |