Atkin-Lehner |
2- 3- 5+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
52290ca |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-30495528000 = -1 · 26 · 38 · 53 · 7 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 2 -4 7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4118,-101019] |
[a1,a2,a3,a4,a6] |
j |
-10591472326681/41832000 |
j-invariant |
L |
3.575072045577 |
L(r)(E,1)/r! |
Ω |
0.29792267047122 |
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 |
17430h1 |
Quadratic twists by: -3 |