Atkin-Lehner |
2- 3+ 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
10146k |
Isogeny class |
Conductor |
10146 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
-13708951826688 = -1 · 28 · 35 · 195 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -2 1 -1 -3 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-22884,1334757] |
[a1,a2,a3,a4,a6] |
Generators |
[165:1361:1] |
Generators of the group modulo torsion |
j |
-1325319889265948737/13708951826688 |
j-invariant |
L |
4.9602395611842 |
L(r)(E,1)/r! |
Ω |
0.70919619922164 |
Real period |
R |
0.17485427751263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81168ch1 30438i1 |
Quadratic twists by: -4 -3 |