Atkin-Lehner |
2- 3- 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
96330dg |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-483565171408800 = -1 · 25 · 3 · 52 · 139 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -3 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-42845,-3577263] |
[a1,a2,a3,a4,a6] |
Generators |
[6618:18661:27] |
Generators of the group modulo torsion |
j |
-1802041022809/100183200 |
j-invariant |
L |
13.062150046163 |
L(r)(E,1)/r! |
Ω |
0.16538429002045 |
Real period |
R |
1.9745149357893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001114 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7410k1 |
Quadratic twists by: 13 |