Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
25350bk |
Isogeny class |
Conductor |
25350 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
820025856000000000 = 218 · 36 · 59 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -6 13- -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-561526,-156034552] |
[a1,a2,a3,a4,a6] |
Generators |
[-428:2651:1] |
Generators of the group modulo torsion |
j |
570403428460237/23887872000 |
j-invariant |
L |
4.2899358296325 |
L(r)(E,1)/r! |
Ω |
0.1748552134076 |
Real period |
R |
1.0222590608037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76050fh1 5070p1 25350dc1 |
Quadratic twists by: -3 5 13 |