Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10640l |
Isogeny class |
Conductor |
10640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
11156848640 = 224 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-563,-782] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:66:1] |
Generators of the group modulo torsion |
j |
4818245769/2723840 |
j-invariant |
L |
3.5449524700918 |
L(r)(E,1)/r! |
Ω |
1.0565483974281 |
Real period |
R |
3.3552201477199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1330c1 42560cu1 95760ew1 53200cp1 |
Quadratic twists by: -4 8 -3 5 |