Atkin-Lehner |
2- 3+ 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
70800t |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-13212979200 = -1 · 212 · 37 · 52 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1968,-33408] |
[a1,a2,a3,a4,a6] |
j |
-8236063705/129033 |
j-invariant |
L |
0.71609500290236 |
L(r)(E,1)/r! |
Ω |
0.35804749978373 |
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 |
4425i1 70800cw1 |
Quadratic twists by: -4 5 |