Atkin-Lehner |
2- 3+ 5- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
59280bk |
Isogeny class |
Conductor |
59280 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-64255791183667200 = -1 · 213 · 33 · 52 · 13 · 197 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 5 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-202320,-37022400] |
[a1,a2,a3,a4,a6] |
j |
-223605437236681681/15687449019450 |
j-invariant |
L |
3.1388151846868 |
L(r)(E,1)/r! |
Ω |
0.11210054228814 |
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 |
7410v1 |
Quadratic twists by: -4 |