Atkin-Lehner |
2- 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090bs |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1622016 |
Modular degree for the optimal curve |
Δ |
12355430582073600 = 28 · 34 · 52 · 7 · 237 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 6 0 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-129616,-17200591] |
[a1,a2,a3,a4,a6] |
Generators |
[-211:1005:1] |
Generators of the group modulo torsion |
j |
1626794704081/83462400 |
j-invariant |
L |
8.7090892323236 |
L(r)(E,1)/r! |
Ω |
0.25241632218839 |
Real period |
R |
2.1564297851995 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029076 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830z1 |
Quadratic twists by: -23 |