Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
88200bi |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-6051657497760000000 = -1 · 211 · 38 · 57 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -3 -1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,437325,40216750] |
[a1,a2,a3,a4,a6] |
j |
68782/45 |
j-invariant |
L |
0.59818253720502 |
L(r)(E,1)/r! |
Ω |
0.14954563596929 |
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 |
29400du1 17640cm1 88200cn1 |
Quadratic twists by: -3 5 -7 |