Atkin-Lehner |
2- 3+ 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97350bl |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3836160 |
Modular degree for the optimal curve |
Δ |
-296402913984375000 = -1 · 23 · 312 · 510 · 112 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11+ -2 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9626263,11491699781] |
[a1,a2,a3,a4,a6] |
j |
-10101755209913776825/30351658392 |
j-invariant |
L |
3.2122151345574 |
L(r)(E,1)/r! |
Ω |
0.26768459081796 |
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 |
97350bg1 |
Quadratic twists by: 5 |