Atkin-Lehner |
2- 7+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
74704g |
Isogeny class |
Conductor |
74704 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-686571269128192 = -1 · 218 · 7 · 232 · 294 |
Discriminant |
Eigenvalues |
2- 0 2 7+ -4 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-825299,-288581998] |
[a1,a2,a3,a4,a6] |
j |
-15177411906818559273/167619938752 |
j-invariant |
L |
0.31679360566148 |
L(r)(E,1)/r! |
Ω |
0.079198406134375 |
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 |
9338d1 |
Quadratic twists by: -4 |