Atkin-Lehner |
2- 7+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
78988c |
Isogeny class |
Conductor |
78988 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
26496 |
Modular degree for the optimal curve |
Δ |
-7678897408 = -1 · 28 · 74 · 13 · 312 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 1 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,49,4214] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:28:1] [-5:62:1] |
Generators of the group modulo torsion |
j |
21168/12493 |
j-invariant |
L |
9.3895794112748 |
L(r)(E,1)/r! |
Ω |
1.0264508667597 |
Real period |
R |
0.50820094513917 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78988d1 |
Quadratic twists by: -7 |