Atkin-Lehner |
2- 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
54096dh |
Isogeny class |
Conductor |
54096 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-132921069797376 = -1 · 217 · 35 · 73 · 233 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -2 1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9560,425396] |
[a1,a2,a3,a4,a6] |
Generators |
[44:-966:1] |
Generators of the group modulo torsion |
j |
68769820673/94610592 |
j-invariant |
L |
8.1766084794994 |
L(r)(E,1)/r! |
Ω |
0.39455284076379 |
Real period |
R |
0.34539558181466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999576 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6762d1 54096bu1 |
Quadratic twists by: -4 -7 |