Atkin-Lehner |
3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
49725l |
Isogeny class |
Conductor |
49725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
68471325 = 36 · 52 · 13 · 172 |
Discriminant |
Eigenvalues |
0 3- 5+ 0 0 13- 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-360,-2599] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:5:1] |
Generators of the group modulo torsion |
j |
283115520/3757 |
j-invariant |
L |
4.5479821041028 |
L(r)(E,1)/r! |
Ω |
1.0969142082212 |
Real period |
R |
2.0730801324482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999473 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5525g1 49725w1 |
Quadratic twists by: -3 5 |