Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696dh |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
-655433921458077696 = -1 · 222 · 36 · 118 |
Discriminant |
Eigenvalues |
2+ 3- -3 2 11- -5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,207636,13821104] |
[a1,a2,a3,a4,a6] |
Generators |
[2662:139392:1] |
Generators of the group modulo torsion |
j |
24167/16 |
j-invariant |
L |
3.917707829452 |
L(r)(E,1)/r! |
Ω |
0.18037736715224 |
Real period |
R |
0.90497953702261 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69696gy1 2178l1 7744j1 69696dj1 |
Quadratic twists by: -4 8 -3 -11 |