Atkin-Lehner |
2+ 3- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
46512m |
Isogeny class |
Conductor |
46512 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-2350179173376 = -1 · 210 · 39 · 17 · 193 |
Discriminant |
Eigenvalues |
2+ 3- -3 -3 2 0 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20019,1092706] |
[a1,a2,a3,a4,a6] |
Generators |
[2:1026:1] [-117:1354:1] |
Generators of the group modulo torsion |
j |
-1188566172868/3148281 |
j-invariant |
L |
7.6270037799713 |
L(r)(E,1)/r! |
Ω |
0.8202932675818 |
Real period |
R |
0.38741244957713 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23256g1 15504h1 |
Quadratic twists by: -4 -3 |