Atkin-Lehner |
2+ 3+ 5- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
70080j |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
357133241548800 = 228 · 36 · 52 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 6 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20865,727425] |
[a1,a2,a3,a4,a6] |
j |
3832302404449/1362355200 |
j-invariant |
L |
1.9737778564239 |
L(r)(E,1)/r! |
Ω |
0.49344446766826 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70080cl1 2190n1 |
Quadratic twists by: -4 8 |