Atkin-Lehner |
2- 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
88200ej |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
532224 |
Modular degree for the optimal curve |
Δ |
-2904795598924800 = -1 · 210 · 39 · 52 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -2 5 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-138915,-20096370] |
[a1,a2,a3,a4,a6] |
j |
-102060 |
j-invariant |
L |
1.4828928144018 |
L(r)(E,1)/r! |
Ω |
0.12357440412667 |
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 |
88200b1 88200v1 88200eu1 |
Quadratic twists by: -3 5 -7 |