Atkin-Lehner |
2- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42050u |
Isogeny class |
Conductor |
42050 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
470400 |
Modular degree for the optimal curve |
Δ |
-275998020944000000 = -1 · 210 · 56 · 297 |
Discriminant |
Eigenvalues |
2- -1 5+ 2 3 1 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,104687,21698031] |
[a1,a2,a3,a4,a6] |
j |
13651919/29696 |
j-invariant |
L |
4.2901606700914 |
L(r)(E,1)/r! |
Ω |
0.21450803350928 |
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 |
1682a1 1450a1 |
Quadratic twists by: 5 29 |