Atkin-Lehner |
2- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
18392h |
Isogeny class |
Conductor |
18392 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-650134428644096 = -1 · 28 · 117 · 194 |
Discriminant |
Eigenvalues |
2- 1 -3 -2 11- -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-74697,7928171] |
[a1,a2,a3,a4,a6] |
Generators |
[-290:2299:1] [73:1694:1] |
Generators of the group modulo torsion |
j |
-101634915328/1433531 |
j-invariant |
L |
6.822679414182 |
L(r)(E,1)/r! |
Ω |
0.51339036581721 |
Real period |
R |
0.41529554485081 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36784e1 1672b1 |
Quadratic twists by: -4 -11 |