Atkin-Lehner |
2- 3+ 7+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
25116c |
Isogeny class |
Conductor |
25116 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-7167503616 = -1 · 28 · 3 · 74 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -6 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,156,-4056] |
[a1,a2,a3,a4,a6] |
Generators |
[14:26:1] [26:130:1] |
Generators of the group modulo torsion |
j |
1629561008/27998061 |
j-invariant |
L |
5.8824881446574 |
L(r)(E,1)/r! |
Ω |
0.64613143180265 |
Real period |
R |
3.0347221711256 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100464cg2 75348e2 |
Quadratic twists by: -4 -3 |