Atkin-Lehner |
2+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
68800bd |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
-1514700800 = -1 · 215 · 52 · 432 |
Discriminant |
Eigenvalues |
2+ 1 5+ 4 -3 2 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14753,-694657] |
[a1,a2,a3,a4,a6] |
j |
-433515103880/1849 |
j-invariant |
L |
1.732753955348 |
L(r)(E,1)/r! |
Ω |
0.21659424305559 |
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 |
68800i1 34400a1 68800bu1 |
Quadratic twists by: -4 8 5 |