Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350ci |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
32400 |
Modular degree for the optimal curve |
Δ |
-17361297800 = -1 · 23 · 52 · 72 · 116 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 11- 2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,542,-3849] |
[a1,a2,a3,a4,a6] |
j |
397535/392 |
j-invariant |
L |
4.0226380063394 |
L(r)(E,1)/r! |
Ω |
0.67043966770025 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42350bl1 350c1 |
Quadratic twists by: 5 -11 |