Atkin-Lehner |
2- 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
24012h |
Isogeny class |
Conductor |
24012 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
65664 |
Modular degree for the optimal curve |
Δ |
-3522025316592 = -1 · 24 · 315 · 232 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 3 -3 1 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75729,-8021747] |
[a1,a2,a3,a4,a6] |
Generators |
[478408:13899843:512] |
Generators of the group modulo torsion |
j |
-4117777414120192/301956903 |
j-invariant |
L |
6.9272961622284 |
L(r)(E,1)/r! |
Ω |
0.14389711697335 |
Real period |
R |
6.0175772697305 |
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 |
96048bd1 8004c1 |
Quadratic twists by: -4 -3 |