Atkin-Lehner |
2- 3+ 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
55692k |
Isogeny class |
Conductor |
55692 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
193139856 = 24 · 33 · 7 · 13 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 0 13- 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1881,31393] |
[a1,a2,a3,a4,a6] |
Generators |
[32:63:1] |
Generators of the group modulo torsion |
j |
1703751895296/447083 |
j-invariant |
L |
8.2125822361012 |
L(r)(E,1)/r! |
Ω |
1.7483666360312 |
Real period |
R |
2.3486441764895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999206 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
55692i2 |
Quadratic twists by: -3 |