Atkin-Lehner |
2- 3- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
83490cl |
Isogeny class |
Conductor |
83490 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
19353600 |
Modular degree for the optimal curve |
Δ |
138587806170000 = 24 · 39 · 54 · 113 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1491346040,22167326439600] |
[a1,a2,a3,a4,a6] |
Generators |
[1426900:-702065:64] |
Generators of the group modulo torsion |
j |
275601091196478935659903044731/104123070000 |
j-invariant |
L |
14.670171243436 |
L(r)(E,1)/r! |
Ω |
0.16401926047692 |
Real period |
R |
0.62112332951496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001818 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83490y1 |
Quadratic twists by: -11 |