Atkin-Lehner |
2+ 3- 5+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
104310m |
Isogeny class |
Conductor |
104310 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4553472 |
Modular degree for the optimal curve |
Δ |
-2.1942866739375E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 0 1 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-291825,715348125] |
[a1,a2,a3,a4,a6] |
Generators |
[-849:19149:1] |
Generators of the group modulo torsion |
j |
-3770200993291549201/300999543750000000 |
j-invariant |
L |
2.8098565880794 |
L(r)(E,1)/r! |
Ω |
0.14600895012713 |
Real period |
R |
4.8111033203943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032115 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34770bg1 |
Quadratic twists by: -3 |