Atkin-Lehner |
3- 13- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21489g |
Isogeny class |
Conductor |
21489 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-452716735419 = -1 · 39 · 133 · 192 · 29 |
Discriminant |
Eigenvalues |
-2 3- -1 -4 -2 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-6136,185782] |
[a1,a2,a3,a4,a6] |
Generators |
[8:370:1] |
Generators of the group modulo torsion |
j |
-25553508728541184/452716735419 |
j-invariant |
L |
2.0825044606206 |
L(r)(E,1)/r! |
Ω |
0.93942204354964 |
Real period |
R |
0.041051727158948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64467s1 |
Quadratic twists by: -3 |