Atkin-Lehner |
2- 3+ 7- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
25116d |
Isogeny class |
Conductor |
25116 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
84672 |
Modular degree for the optimal curve |
Δ |
300120468141312 = 28 · 32 · 77 · 13 · 233 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -3 13+ -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19269,610785] |
[a1,a2,a3,a4,a6] |
Generators |
[-152:69:1] [-129:966:1] |
Generators of the group modulo torsion |
j |
3090891892129792/1172345578677 |
j-invariant |
L |
6.2531900013717 |
L(r)(E,1)/r! |
Ω |
0.4981027533547 |
Real period |
R |
0.099635048672467 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100464bm1 75348f1 |
Quadratic twists by: -4 -3 |