Atkin-Lehner |
2- 3- 7+ 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
41118u |
Isogeny class |
Conductor |
41118 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-96939221148 = -1 · 22 · 38 · 73 · 112 · 89 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,42,-14976] |
[a1,a2,a3,a4,a6] |
Generators |
[390:2379:8] |
Generators of the group modulo torsion |
j |
8181353375/96939221148 |
j-invariant |
L |
10.743733522968 |
L(r)(E,1)/r! |
Ω |
0.49261966420812 |
Real period |
R |
2.7261735329411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123354j1 |
Quadratic twists by: -3 |