Atkin-Lehner |
2- 3- 11+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
118404b |
Isogeny class |
Conductor |
118404 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-2275648627824 = -1 · 24 · 39 · 11 · 134 · 23 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 11+ 13+ -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-193593,-32785639] |
[a1,a2,a3,a4,a6] |
Generators |
[541:4563:1] |
Generators of the group modulo torsion |
j |
-68793142843722496/195100191 |
j-invariant |
L |
4.7216427873171 |
L(r)(E,1)/r! |
Ω |
0.11380126054381 |
Real period |
R |
1.7287604425694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999286111 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39468b1 |
Quadratic twists by: -3 |