Atkin-Lehner |
2- 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
49010t |
Isogeny class |
Conductor |
49010 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
69888 |
Modular degree for the optimal curve |
Δ |
31077927140 = 22 · 5 · 133 · 294 |
Discriminant |
Eigenvalues |
2- 2 5- 0 0 13- 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7290,236387] |
[a1,a2,a3,a4,a6] |
Generators |
[3060:-1301:64] |
Generators of the group modulo torsion |
j |
19502036437213/14145620 |
j-invariant |
L |
14.413875961093 |
L(r)(E,1)/r! |
Ω |
1.1624801244575 |
Real period |
R |
3.0998112694248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999935 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49010c1 |
Quadratic twists by: 13 |