Atkin-Lehner |
3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
18513d |
Isogeny class |
Conductor |
18513 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
18399065832873 = 33 · 119 · 172 |
Discriminant |
Eigenvalues |
-1 3+ 2 2 11- 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8009,185056] |
[a1,a2,a3,a4,a6] |
Generators |
[8:344:1] |
Generators of the group modulo torsion |
j |
1187648379/384659 |
j-invariant |
L |
3.9137613013135 |
L(r)(E,1)/r! |
Ω |
0.63599702196152 |
Real period |
R |
3.0768707762521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18513a1 1683a1 |
Quadratic twists by: -3 -11 |