Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
61380n |
Isogeny class |
Conductor |
61380 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
2216109442433990400 = 28 · 38 · 52 · 116 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- 2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1489863,696276862] |
[a1,a2,a3,a4,a6] |
Generators |
[-1069:32670:1] |
Generators of the group modulo torsion |
j |
1959725406100656976/11874729093975 |
j-invariant |
L |
4.7524126389069 |
L(r)(E,1)/r! |
Ω |
0.26128355309738 |
Real period |
R |
1.5157264277509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000233 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
20460n4 |
Quadratic twists by: -3 |