Atkin-Lehner |
2- 7- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
49126h |
Isogeny class |
Conductor |
49126 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
153600 |
Modular degree for the optimal curve |
Δ |
-523294515960832 = -1 · 210 · 73 · 116 · 292 |
Discriminant |
Eigenvalues |
2- 0 0 7- 11- 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-36565,-2898387] |
[a1,a2,a3,a4,a6] |
Generators |
[399:-6976:1] |
Generators of the group modulo torsion |
j |
-3051779837625/295386112 |
j-invariant |
L |
9.0390845395669 |
L(r)(E,1)/r! |
Ω |
0.1716815480714 |
Real period |
R |
0.87750495428835 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
406a1 |
Quadratic twists by: -11 |