Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
60840bp |
Isogeny class |
Conductor |
60840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
24210853385472000 = 211 · 316 · 53 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 13- 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-614523,185268278] |
[a1,a2,a3,a4,a6] |
j |
7824392006186/7381125 |
j-invariant |
L |
3.0121329324365 |
L(r)(E,1)/r! |
Ω |
0.37651661725348 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121680be2 20280j2 60840bd2 |
Quadratic twists by: -4 -3 13 |