Atkin-Lehner |
2+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
25168j |
Isogeny class |
Conductor |
25168 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
2853545423872 = 210 · 118 · 13 |
Discriminant |
Eigenvalues |
2+ -1 -4 2 11- 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4880,104656] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:484:1] |
Generators of the group modulo torsion |
j |
58564/13 |
j-invariant |
L |
3.0290383460428 |
L(r)(E,1)/r! |
Ω |
0.75890905254207 |
Real period |
R |
0.33260884334522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12584e1 100672cs1 25168d1 |
Quadratic twists by: -4 8 -11 |