Atkin-Lehner |
2+ 3- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
5610u |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
110 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
-6625297800000 = -1 · 26 · 311 · 55 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- 5 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,777,-123494] |
[a1,a2,a3,a4,a6] |
Generators |
[95:852:1] |
Generators of the group modulo torsion |
j |
51974460932759/6625297800000 |
j-invariant |
L |
3.7448924299929 |
L(r)(E,1)/r! |
Ω |
0.35505423474632 |
Real period |
R |
0.095885285414561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44880bu1 16830bx1 28050cd1 61710cu1 |
Quadratic twists by: -4 -3 5 -11 |