Atkin-Lehner |
2+ 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103360p |
Isogeny class |
Conductor |
103360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
-516800 = -1 · 26 · 52 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5+ -2 -2 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1,35] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:5:1] |
Generators of the group modulo torsion |
j |
-4096/8075 |
j-invariant |
L |
4.2635518688524 |
L(r)(E,1)/r! |
Ω |
2.3604414239871 |
Real period |
R |
0.90312596699153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999571293 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103360bx1 1615c1 |
Quadratic twists by: -4 8 |