Atkin-Lehner |
2+ 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
49126a |
Isogeny class |
Conductor |
49126 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-1292217070025728 = -1 · 210 · 7 · 118 · 292 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ 11- 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,643,1729349] |
[a1,a2,a3,a4,a6] |
Generators |
[3050:166907:1] |
Generators of the group modulo torsion |
j |
16581375/729422848 |
j-invariant |
L |
3.4133330528473 |
L(r)(E,1)/r! |
Ω |
0.38219132038113 |
Real period |
R |
2.2327384681458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4466c1 |
Quadratic twists by: -11 |