Atkin-Lehner |
2+ 3- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
125424f |
Isogeny class |
Conductor |
125424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
303104 |
Modular degree for the optimal curve |
Δ |
-13864334844672 = -1 · 28 · 314 · 132 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -2 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2796,169868] |
[a1,a2,a3,a4,a6] |
Generators |
[-284:25389:64] |
Generators of the group modulo torsion |
j |
12952921088/74290203 |
j-invariant |
L |
9.9267221528754 |
L(r)(E,1)/r! |
Ω |
0.50965092883071 |
Real period |
R |
4.8693731505032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999566487 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62712f1 41808c1 |
Quadratic twists by: -4 -3 |