Atkin-Lehner |
2- 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
2310n |
Isogeny class |
Conductor |
2310 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
-378470400 = -1 · 216 · 3 · 52 · 7 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,35,947] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:28:1] |
Generators of the group modulo torsion |
j |
4733169839/378470400 |
j-invariant |
L |
3.9614829321028 |
L(r)(E,1)/r! |
Ω |
1.2946285079124 |
Real period |
R |
1.5299689864279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18480dg1 73920cg1 6930g1 11550y1 |
Quadratic twists by: -4 8 -3 5 |