Atkin-Lehner |
2+ 3+ 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
93138j |
Isogeny class |
Conductor |
93138 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27417600 |
Modular degree for the optimal curve |
Δ |
6.8998276709991E+24 |
Discriminant |
Eigenvalues |
2+ 3+ -4 0 0 0 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-48431767,-29316861995] |
[a1,a2,a3,a4,a6] |
Generators |
[915647912329977:-32131891145447029:116715092103] |
Generators of the group modulo torsion |
j |
267050295730790058241/146661674185654272 |
j-invariant |
L |
2.6277064285094 |
L(r)(E,1)/r! |
Ω |
0.061183138061841 |
Real period |
R |
21.474106441754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999625088 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4902o1 |
Quadratic twists by: -19 |