Atkin-Lehner |
3+ 5+ 29- 43- |
Signs for the Atkin-Lehner involutions |
Class |
18705a |
Isogeny class |
Conductor |
18705 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14208 |
Modular degree for the optimal curve |
Δ |
1695140625 = 3 · 56 · 292 · 43 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 2 2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2218,39247] |
[a1,a2,a3,a4,a6] |
Generators |
[222:3137:1] |
Generators of the group modulo torsion |
j |
1207575369408169/1695140625 |
j-invariant |
L |
5.5210061039537 |
L(r)(E,1)/r! |
Ω |
1.4920360450118 |
Real period |
R |
3.7003168404755 |
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 |
56115n1 93525r1 |
Quadratic twists by: -3 5 |