Atkin-Lehner |
2- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290dt |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1958400 |
Modular degree for the optimal curve |
Δ |
856291651421263750 = 2 · 54 · 74 · 1111 |
Discriminant |
Eigenvalues |
2- 3 5- 7+ 11- 1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-238272,4741069] |
[a1,a2,a3,a4,a6] |
j |
351716516361/201313750 |
j-invariant |
L |
11.559670453761 |
L(r)(E,1)/r! |
Ω |
0.24082646778833 |
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 |
59290dl1 5390k1 |
Quadratic twists by: -7 -11 |