Atkin-Lehner |
2- 3- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
19836i |
Isogeny class |
Conductor |
19836 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-29672831088 = -1 · 24 · 311 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 1 3 -1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-345,-8647] |
[a1,a2,a3,a4,a6] |
Generators |
[37:171:1] |
Generators of the group modulo torsion |
j |
-389344000/2543967 |
j-invariant |
L |
5.4165875623681 |
L(r)(E,1)/r! |
Ω |
0.49329011293024 |
Real period |
R |
0.91504428131088 |
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 |
79344bm1 6612a1 |
Quadratic twists by: -4 -3 |