Atkin-Lehner |
2- 5+ 19+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
115900c |
Isogeny class |
Conductor |
115900 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
137631250000 = 24 · 58 · 192 · 61 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 6 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1300,2625] |
[a1,a2,a3,a4,a6] |
Generators |
[60:375:1] |
Generators of the group modulo torsion |
j |
971882496/550525 |
j-invariant |
L |
7.6638975343751 |
L(r)(E,1)/r! |
Ω |
0.89153437667688 |
Real period |
R |
1.4327167781593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999683592 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23180d1 |
Quadratic twists by: 5 |