Atkin-Lehner |
2- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
81340h |
Isogeny class |
Conductor |
81340 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
55440 |
Modular degree for the optimal curve |
Δ |
-3905946800 = -1 · 24 · 52 · 76 · 83 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 5 -2 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1045,-13700] |
[a1,a2,a3,a4,a6] |
j |
-67108864/2075 |
j-invariant |
L |
2.5142977979165 |
L(r)(E,1)/r! |
Ω |
0.41904964732381 |
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 |
1660b1 |
Quadratic twists by: -7 |