Atkin-Lehner |
2+ 3+ 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86730f |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
272384 |
Modular degree for the optimal curve |
Δ |
428555306340 = 22 · 32 · 5 · 79 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -6 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18743,-995007] |
[a1,a2,a3,a4,a6] |
j |
18046578367/10620 |
j-invariant |
L |
0.81607877109512 |
L(r)(E,1)/r! |
Ω |
0.4080394010676 |
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 |
86730br1 |
Quadratic twists by: -7 |