Atkin-Lehner |
2- 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
59780g |
Isogeny class |
Conductor |
59780 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
169344 |
Modular degree for the optimal curve |
Δ |
439566076250000 = 24 · 57 · 78 · 61 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 6 -2 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20237,-458591] |
[a1,a2,a3,a4,a6] |
j |
9937057536/4765625 |
j-invariant |
L |
2.9384939156805 |
L(r)(E,1)/r! |
Ω |
0.41978484502323 |
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 |
59780c1 |
Quadratic twists by: -7 |