Atkin-Lehner |
2- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
42350cu |
Isogeny class |
Conductor |
42350 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
1323437500 = 22 · 58 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 11- 4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-888,-10108] |
[a1,a2,a3,a4,a6] |
j |
1638505/28 |
j-invariant |
L |
5.2528525004752 |
L(r)(E,1)/r! |
Ω |
0.87547541675819 |
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 |
42350x1 42350bp1 |
Quadratic twists by: 5 -11 |