Atkin-Lehner |
2+ 5- 23- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
23230c |
Isogeny class |
Conductor |
23230 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-931412064295746560 = -1 · 210 · 5 · 239 · 101 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 5 4 7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2755853,1761271816] |
[a1,a2,a3,a4,a6] |
Generators |
[-893:59694:1] |
Generators of the group modulo torsion |
j |
-2314683575658195939669961/931412064295746560 |
j-invariant |
L |
5.1509512886118 |
L(r)(E,1)/r! |
Ω |
0.27462117927416 |
Real period |
R |
1.0420316496884 |
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 |
116150t1 |
Quadratic twists by: 5 |