Atkin-Lehner |
2- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
42050bf |
Isogeny class |
Conductor |
42050 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
237600 |
Modular degree for the optimal curve |
Δ |
-22632992000000 = -1 · 211 · 56 · 294 |
Discriminant |
Eigenvalues |
2- -3 5+ -4 -1 -6 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,6570,100197] |
[a1,a2,a3,a4,a6] |
Generators |
[109:1395:1] |
Generators of the group modulo torsion |
j |
2838375/2048 |
j-invariant |
L |
3.288032367305 |
L(r)(E,1)/r! |
Ω |
0.4304969660093 |
Real period |
R |
0.11572363144312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1682e1 42050i1 |
Quadratic twists by: 5 29 |