Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
84700t |
Isogeny class |
Conductor |
84700 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
3.5383952538069E+23 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-27649508,-48078938488] |
[a1,a2,a3,a4,a6] |
j |
329890530231376/49933296875 |
j-invariant |
L |
3.1923237239356 |
L(r)(E,1)/r! |
Ω |
0.066506744762031 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16940f2 7700d2 |
Quadratic twists by: 5 -11 |