Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
88200bk |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
437582250000 = 24 · 36 · 56 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -3 6 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3675,-79625] |
[a1,a2,a3,a4,a6] |
j |
12544 |
j-invariant |
L |
1.2325543581196 |
L(r)(E,1)/r! |
Ω |
0.6162771876675 |
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 |
9800x1 3528t1 88200cr1 |
Quadratic twists by: -3 5 -7 |