Atkin-Lehner |
3+ 5+ 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
19635d |
Isogeny class |
Conductor |
19635 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16704 |
Modular degree for the optimal curve |
Δ |
-1312108875 = -1 · 36 · 53 · 7 · 112 · 17 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7+ 11+ 3 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,254,702] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:13:1] [3:38:1] |
Generators of the group modulo torsion |
j |
1805152587776/1312108875 |
j-invariant |
L |
3.2715773965643 |
L(r)(E,1)/r! |
Ω |
0.97159437098379 |
Real period |
R |
0.84180638913418 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58905bk1 98175bg1 |
Quadratic twists by: -3 5 |