Atkin-Lehner |
3- 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
45177j |
Isogeny class |
Conductor |
45177 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
109440 |
Modular degree for the optimal curve |
Δ |
115911821979393 = 3 · 11 · 378 |
Discriminant |
Eigenvalues |
1 3- 0 0 11- -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17826,-757001] |
[a1,a2,a3,a4,a6] |
Generators |
[449927572209621:5067226251911536:1956408087843] |
Generators of the group modulo torsion |
j |
244140625/45177 |
j-invariant |
L |
8.0216497618576 |
L(r)(E,1)/r! |
Ω |
0.41845830353727 |
Real period |
R |
19.169531812514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999866 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1221c1 |
Quadratic twists by: 37 |