Atkin-Lehner |
2- 3- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45936bj |
Isogeny class |
Conductor |
45936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-504129728323584 = -1 · 213 · 313 · 113 · 29 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 11+ 3 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6411,-1098182] |
[a1,a2,a3,a4,a6] |
Generators |
[1082:35478:1] |
Generators of the group modulo torsion |
j |
-9759185353/168832026 |
j-invariant |
L |
7.2425317412589 |
L(r)(E,1)/r! |
Ω |
0.22477636659911 |
Real period |
R |
4.0276319141329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5742x1 15312bb1 |
Quadratic twists by: -4 -3 |