Atkin-Lehner |
2+ 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97608d |
Isogeny class |
Conductor |
97608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1428480 |
Modular degree for the optimal curve |
Δ |
-397199986167871152 = -1 · 24 · 32 · 716 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-822187,-288272312] |
[a1,a2,a3,a4,a6] |
j |
-32653356854904832/211009011003 |
j-invariant |
L |
2.8527366268281 |
L(r)(E,1)/r! |
Ω |
0.079242681108728 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13944h1 |
Quadratic twists by: -7 |