Atkin-Lehner |
3- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
18585i |
Isogeny class |
Conductor |
18585 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
211200 |
Modular degree for the optimal curve |
Δ |
182243144021085 = 37 · 5 · 710 · 59 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ -1 5 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-537393,151628953] |
[a1,a2,a3,a4,a6] |
Generators |
[-11164:991581:64] |
Generators of the group modulo torsion |
j |
23543563594568052736/249990595365 |
j-invariant |
L |
9.2473348403096 |
L(r)(E,1)/r! |
Ω |
0.5152712265516 |
Real period |
R |
4.4866345934919 |
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 |
6195d1 92925t1 |
Quadratic twists by: -3 5 |