Atkin-Lehner |
3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
20691h |
Isogeny class |
Conductor |
20691 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-497763387 = -1 · 39 · 113 · 19 |
Discriminant |
Eigenvalues |
-2 3+ 0 -2 11+ -5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1485,22052] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:192:1] [0:148:1] |
Generators of the group modulo torsion |
j |
-13824000/19 |
j-invariant |
L |
3.8929902673967 |
L(r)(E,1)/r! |
Ω |
1.6521055247928 |
Real period |
R |
0.58909528007989 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20691g1 20691c1 |
Quadratic twists by: -3 -11 |