Atkin-Lehner |
2- 3+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
8778m |
Isogeny class |
Conductor |
8778 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
15456 |
Modular degree for the optimal curve |
Δ |
-497624398656 = -1 · 26 · 3 · 7 · 117 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11+ 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1660,22469] |
[a1,a2,a3,a4,a6] |
j |
505861496763839/497624398656 |
j-invariant |
L |
3.6741712827458 |
L(r)(E,1)/r! |
Ω |
0.61236188045763 |
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 |
70224cj1 26334y1 61446cu1 96558f1 |
Quadratic twists by: -4 -3 -7 -11 |