Atkin-Lehner |
2+ 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
31150g |
Isogeny class |
Conductor |
31150 |
Conductor |
∏ cp |
440 |
Product of Tamagawa factors cp |
deg |
41564160 |
Modular degree for the optimal curve |
Δ |
-1.4133132906252E+30 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -1 -4 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2017753442,66997417773716] |
[a1,a2,a3,a4,a6] |
Generators |
[-31436:9983718:1] |
Generators of the group modulo torsion |
j |
-58144411162576105299387164529/90452050600014189420544000 |
j-invariant |
L |
3.1101662883606 |
L(r)(E,1)/r! |
Ω |
0.024216627670298 |
Real period |
R |
0.2918886908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6230f1 |
Quadratic twists by: 5 |