Atkin-Lehner |
2- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
42050t |
Isogeny class |
Conductor |
42050 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
544320 |
Modular degree for the optimal curve |
Δ |
-6403154085900800 = -1 · 29 · 52 · 298 |
Discriminant |
Eigenvalues |
2- 1 5+ 4 3 4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-357863,82459337] |
[a1,a2,a3,a4,a6] |
j |
-340836570625/430592 |
j-invariant |
L |
7.5947929594844 |
L(r)(E,1)/r! |
Ω |
0.42193294218668 |
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 |
42050p1 1450b1 |
Quadratic twists by: 5 29 |