Atkin-Lehner |
2- 3- 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
49296bj |
Isogeny class |
Conductor |
49296 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
428544 |
Modular degree for the optimal curve |
Δ |
4913837899776 = 220 · 33 · 133 · 79 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1562152,-752027980] |
[a1,a2,a3,a4,a6] |
Generators |
[287706:29486080:27] |
Generators of the group modulo torsion |
j |
102928089027210685993/1199667456 |
j-invariant |
L |
8.573372875076 |
L(r)(E,1)/r! |
Ω |
0.13504195279842 |
Real period |
R |
7.0540818343957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6162a1 |
Quadratic twists by: -4 |