Atkin-Lehner |
2+ 3+ 5+ 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
114390c |
Isogeny class |
Conductor |
114390 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3792768 |
Modular degree for the optimal curve |
Δ |
-1.050317632512E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -5 3 -2 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,541875,27087461] |
[a1,a2,a3,a4,a6] |
Generators |
[265:13624:1] |
Generators of the group modulo torsion |
j |
893983109026247037/533616640000000 |
j-invariant |
L |
2.8780967631635 |
L(r)(E,1)/r! |
Ω |
0.1395407184872 |
Real period |
R |
5.1563743462421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000013519 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114390u1 |
Quadratic twists by: -3 |