Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
45936bv |
Isogeny class |
Conductor |
45936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-35114025222144 = -1 · 224 · 38 · 11 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5541,236810] |
[a1,a2,a3,a4,a6] |
Generators |
[70280:969255:512] |
Generators of the group modulo torsion |
j |
6300872423/11759616 |
j-invariant |
L |
7.4866140404307 |
L(r)(E,1)/r! |
Ω |
0.44922767515493 |
Real period |
R |
8.3327613752315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5742v1 15312m1 |
Quadratic twists by: -4 -3 |