Atkin-Lehner |
2- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
90160ct |
Isogeny class |
Conductor |
90160 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-464504320000 = -1 · 212 · 54 · 73 · 232 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 0 -4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,600,32500] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-230:1] [-12:154:1] |
Generators of the group modulo torsion |
j |
16974593/330625 |
j-invariant |
L |
8.1957616166285 |
L(r)(E,1)/r! |
Ω |
0.69897919425926 |
Real period |
R |
0.73283311610798 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000305 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5635i1 90160bu1 |
Quadratic twists by: -4 -7 |