Atkin-Lehner |
2- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
71050cf |
Isogeny class |
Conductor |
71050 |
Conductor |
∏ cp |
684 |
Product of Tamagawa factors cp |
deg |
3523968 |
Modular degree for the optimal curve |
Δ |
1.3360608759254E+21 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ -6 0 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2755255,78021647] |
[a1,a2,a3,a4,a6] |
Generators |
[-1041:43150:1] [-1261:39950:1] |
Generators of the group modulo torsion |
j |
642014186094225/370818940928 |
j-invariant |
L |
14.248065558126 |
L(r)(E,1)/r! |
Ω |
0.12947945619019 |
Real period |
R |
0.16087884375548 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999867 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71050f1 71050cl1 |
Quadratic twists by: 5 -7 |