Atkin-Lehner |
2+ 3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
90168b |
Isogeny class |
Conductor |
90168 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5308416 |
Modular degree for the optimal curve |
Δ |
3.3266917912683E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 2 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11591308,-14930116460] |
[a1,a2,a3,a4,a6] |
Generators |
[761878:665002872:1] |
Generators of the group modulo torsion |
j |
27873248949250000/538367795433 |
j-invariant |
L |
4.6622271231431 |
L(r)(E,1)/r! |
Ω |
0.081917371645849 |
Real period |
R |
7.1142222648019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019835 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5304d1 |
Quadratic twists by: 17 |