Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200ih |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-296407714176000 = -1 · 210 · 39 · 53 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -2 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,13965,-531650] |
[a1,a2,a3,a4,a6] |
Generators |
[50:540:1] |
Generators of the group modulo torsion |
j |
27436/27 |
j-invariant |
L |
5.3308964187006 |
L(r)(E,1)/r! |
Ω |
0.29767206116212 |
Real period |
R |
2.2385777447555 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014775 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400cg1 88200dv1 1800v1 |
Quadratic twists by: -3 5 -7 |