Atkin-Lehner |
2- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
59290ea |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
1203118580540800 = 27 · 52 · 710 · 113 |
Discriminant |
Eigenvalues |
2- 3 5- 7- 11+ 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28062,-692051] |
[a1,a2,a3,a4,a6] |
j |
6499899/3200 |
j-invariant |
L |
10.860441962657 |
L(r)(E,1)/r! |
Ω |
0.38787292747584 |
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 |
59290ck1 59290bn1 |
Quadratic twists by: -7 -11 |