Atkin-Lehner |
2- 5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
62300a |
Isogeny class |
Conductor |
62300 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
277344 |
Modular degree for the optimal curve |
Δ |
22985414547200 = 28 · 52 · 79 · 89 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -2 3 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-301775,63807270] |
[a1,a2,a3,a4,a6] |
j |
474890535155970000/3591471023 |
j-invariant |
L |
2.4249417010977 |
L(r)(E,1)/r! |
Ω |
0.60623542597551 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62300r1 |
Quadratic twists by: 5 |