Atkin-Lehner |
2+ 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290bu |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-51878750 = -1 · 2 · 54 · 73 · 112 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 11- -3 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6823,-217472] |
[a1,a2,a3,a4,a6] |
j |
-846211325047/1250 |
j-invariant |
L |
2.1012285393534 |
L(r)(E,1)/r! |
Ω |
0.26265356683339 |
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 |
59290q1 59290eh1 |
Quadratic twists by: -7 -11 |