Atkin-Lehner |
2- 3+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
96048r |
Isogeny class |
Conductor |
96048 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
94464 |
Modular degree for the optimal curve |
Δ |
-5573569392 = -1 · 24 · 33 · 232 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 -3 5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17745,-909841] |
[a1,a2,a3,a4,a6] |
j |
-1430434500768000/12901781 |
j-invariant |
L |
2.4818845735659 |
L(r)(E,1)/r! |
Ω |
0.2068237094475 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24012a1 96048p2 |
Quadratic twists by: -4 -3 |