Atkin-Lehner |
2+ 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
90160bg |
Isogeny class |
Conductor |
90160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
372736 |
Modular degree for the optimal curve |
Δ |
-136621171859200 = -1 · 28 · 52 · 79 · 232 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 4 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7660,-621300] |
[a1,a2,a3,a4,a6] |
Generators |
[370:6880:1] |
Generators of the group modulo torsion |
j |
-4812208/13225 |
j-invariant |
L |
4.3277187158472 |
L(r)(E,1)/r! |
Ω |
0.23673917906964 |
Real period |
R |
4.5701336121633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999942668 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45080p1 90160j1 |
Quadratic twists by: -4 -7 |