Atkin-Lehner |
2+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350g |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-26468750 = -1 · 2 · 56 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 11- -7 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,74,-2] |
[a1,a2,a3,a4,a6] |
Generators |
[2:11:1] [46:173:8] |
Generators of the group modulo torsion |
j |
24167/14 |
j-invariant |
L |
7.5739796404211 |
L(r)(E,1)/r! |
Ω |
1.2568151821867 |
Real period |
R |
1.5065818243944 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1694h1 42350cg1 |
Quadratic twists by: 5 -11 |