Atkin-Lehner |
2- 3- 5+ 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
91650db |
Isogeny class |
Conductor |
91650 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-4223232000000 = -1 · 214 · 33 · 56 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 3 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-337663,-75550183] |
[a1,a2,a3,a4,a6] |
j |
-272492272338400297/270286848 |
j-invariant |
L |
8.3181728955723 |
L(r)(E,1)/r! |
Ω |
0.099025867987674 |
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 |
3666e1 |
Quadratic twists by: 5 |