Atkin-Lehner |
2- 7+ 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
120176p |
Isogeny class |
Conductor |
120176 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2899421173706129408 = 224 · 76 · 29 · 373 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 0 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-372568,-30695952] |
[a1,a2,a3,a4,a6] |
j |
1396309141116177625/707866497486848 |
j-invariant |
L |
1.2233085594715 |
L(r)(E,1)/r! |
Ω |
0.20388481414852 |
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 |
15022a3 |
Quadratic twists by: -4 |