Atkin-Lehner |
2- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
57460b |
Isogeny class |
Conductor |
57460 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
140544 |
Modular degree for the optimal curve |
Δ |
-77685920000 = -1 · 28 · 54 · 134 · 17 |
Discriminant |
Eigenvalues |
2- -3 5+ 5 -4 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1183,-20618] |
[a1,a2,a3,a4,a6] |
Generators |
[406:8150:1] |
Generators of the group modulo torsion |
j |
-25041744/10625 |
j-invariant |
L |
3.5467051067703 |
L(r)(E,1)/r! |
Ω |
0.39876500481418 |
Real period |
R |
4.4471117877852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995475 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57460e1 |
Quadratic twists by: 13 |