Atkin-Lehner |
2+ 3+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
87024c |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
357504 |
Modular degree for the optimal curve |
Δ |
-7463710913904 = -1 · 24 · 37 · 78 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 4 -2 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-166812,26279415] |
[a1,a2,a3,a4,a6] |
j |
-5565496077568/80919 |
j-invariant |
L |
2.0355155469256 |
L(r)(E,1)/r! |
Ω |
0.6785052108496 |
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 |
43512g1 87024bl1 |
Quadratic twists by: -4 -7 |