Atkin-Lehner |
2- 7+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
78736p |
Isogeny class |
Conductor |
78736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
282189824 = 213 · 72 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 2 -3 7+ 3 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-941592,-351361936] |
[a1,a2,a3,a4,a6] |
Generators |
[-6812324:72:12167] |
Generators of the group modulo torsion |
j |
22539927008317185433/68894 |
j-invariant |
L |
6.338045340285 |
L(r)(E,1)/r! |
Ω |
0.15326176625519 |
Real period |
R |
5.169297517056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971351 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9842d1 |
Quadratic twists by: -4 |