Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
45600l |
Isogeny class |
Conductor |
45600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
731025000000 = 26 · 34 · 58 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2258,-4512] |
[a1,a2,a3,a4,a6] |
j |
1273760704/731025 |
j-invariant |
L |
3.0080032512141 |
L(r)(E,1)/r! |
Ω |
0.75200081290449 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
45600bb1 91200w2 9120n1 |
Quadratic twists by: -4 8 5 |