Atkin-Lehner |
2+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290cc |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
525179258450 = 2 · 52 · 72 · 118 |
Discriminant |
Eigenvalues |
2+ 2 5- 7- 11- 4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10287,-404389] |
[a1,a2,a3,a4,a6] |
j |
11463529/50 |
j-invariant |
L |
2.8450315879435 |
L(r)(E,1)/r! |
Ω |
0.4741719315736 |
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 |
59290d1 59290eq1 |
Quadratic twists by: -7 -11 |