Atkin-Lehner |
2- 7+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
78736m |
Isogeny class |
Conductor |
78736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11827200 |
Modular degree for the optimal curve |
Δ |
1.2245238750615E+24 |
Discriminant |
Eigenvalues |
2- 0 -3 7+ 1 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-173382299,-877115238326] |
[a1,a2,a3,a4,a6] |
Generators |
[-10865828596245:38060207535886:1393668613] |
Generators of the group modulo torsion |
j |
140727196512386480536476273/298956024184936205024 |
j-invariant |
L |
3.5791251762901 |
L(r)(E,1)/r! |
Ω |
0.041610582548891 |
Real period |
R |
21.50369543664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9842m1 |
Quadratic twists by: -4 |