Atkin-Lehner |
2+ 5+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
49010c |
Isogeny class |
Conductor |
49010 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
908544 |
Modular degree for the optimal curve |
Δ |
150007218420696260 = 22 · 5 · 139 · 294 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 0 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1232013,525502697] |
[a1,a2,a3,a4,a6] |
Generators |
[-1021:27350:1] |
Generators of the group modulo torsion |
j |
19502036437213/14145620 |
j-invariant |
L |
6.3608462308245 |
L(r)(E,1)/r! |
Ω |
0.32241397657224 |
Real period |
R |
4.9322041637733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999863 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49010t1 |
Quadratic twists by: 13 |