Atkin-Lehner |
2+ 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111090q |
Isogeny class |
Conductor |
111090 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
2252292033190500 = 22 · 33 · 53 · 72 · 237 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-853024,-303304678] |
[a1,a2,a3,a4,a6] |
Generators |
[1125:12133:1] |
Generators of the group modulo torsion |
j |
463702796512201/15214500 |
j-invariant |
L |
5.9336683178084 |
L(r)(E,1)/r! |
Ω |
0.15709420257838 |
Real period |
R |
3.1476168570827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999925518 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4830o1 |
Quadratic twists by: -23 |