Atkin-Lehner |
2- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
45080bg |
Isogeny class |
Conductor |
45080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-519754458160 = -1 · 24 · 5 · 710 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1078,-31899] |
[a1,a2,a3,a4,a6] |
Generators |
[930:5797:27] |
Generators of the group modulo torsion |
j |
73598976/276115 |
j-invariant |
L |
5.6088853362323 |
L(r)(E,1)/r! |
Ω |
0.47113662823626 |
Real period |
R |
5.9525040084728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90160ba1 6440e1 |
Quadratic twists by: -4 -7 |