Atkin-Lehner |
2- 31- 61- |
Signs for the Atkin-Lehner involutions |
Class |
7564a |
Isogeny class |
Conductor |
7564 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-13859257482496 = -1 · 28 · 316 · 61 |
Discriminant |
Eigenvalues |
2- -2 -3 -1 3 -1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16172,-817004] |
[a1,a2,a3,a4,a6] |
Generators |
[147:62:1] [271:3844:1] |
Generators of the group modulo torsion |
j |
-1827266108870608/54137724541 |
j-invariant |
L |
3.6175783268409 |
L(r)(E,1)/r! |
Ω |
0.21130921789866 |
Real period |
R |
2.8533053462403 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30256g2 121024j2 68076f2 |
Quadratic twists by: -4 8 -3 |