Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200hz |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
257191200000000 = 211 · 38 · 58 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 4 -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28875,1723750] |
[a1,a2,a3,a4,a6] |
Generators |
[8770:25992:125] |
Generators of the group modulo torsion |
j |
93170/9 |
j-invariant |
L |
7.3898187460798 |
L(r)(E,1)/r! |
Ω |
0.53772556229131 |
Real period |
R |
6.8713664217856 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000475 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400cc1 88200by1 88200hq1 |
Quadratic twists by: -3 5 -7 |