Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
17760m |
Isogeny class |
Conductor |
17760 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
1596801600 = 26 · 36 · 52 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-366,-2016] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:18:1] |
Generators of the group modulo torsion |
j |
84951891136/24950025 |
j-invariant |
L |
4.9469280865599 |
L(r)(E,1)/r! |
Ω |
1.1158742566815 |
Real period |
R |
1.4777435889212 |
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 |
17760d1 35520bz2 53280cc1 88800be1 |
Quadratic twists by: -4 8 -3 5 |