Atkin-Lehner |
3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
9075i |
Isogeny class |
Conductor |
9075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-1497375 = -1 · 32 · 53 · 113 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 11+ -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8,56] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:8:1] [0:7:1] |
Generators of the group modulo torsion |
j |
-343/9 |
j-invariant |
L |
3.1490203849844 |
L(r)(E,1)/r! |
Ω |
2.2477903093927 |
Real period |
R |
0.70047022887925 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27225bv1 9075q1 9075h1 |
Quadratic twists by: -3 5 -11 |