Atkin-Lehner |
3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
18513t |
Isogeny class |
Conductor |
18513 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-29222045734563 = -1 · 36 · 119 · 17 |
Discriminant |
Eigenvalues |
2 3- -4 5 11- -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,7623,44921] |
[a1,a2,a3,a4,a6] |
j |
37933056/22627 |
j-invariant |
L |
3.2407656207631 |
L(r)(E,1)/r! |
Ω |
0.40509570259538 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2057d1 1683j1 |
Quadratic twists by: -3 -11 |