Atkin-Lehner |
2+ 5- 23- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
23230g |
Isogeny class |
Conductor |
23230 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12000 |
Modular degree for the optimal curve |
Δ |
-371680 = -1 · 25 · 5 · 23 · 101 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 6 -1 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-877,-10371] |
[a1,a2,a3,a4,a6] |
Generators |
[235565655:1406460103:4019679] |
Generators of the group modulo torsion |
j |
-74730178537561/371680 |
j-invariant |
L |
6.3464113571957 |
L(r)(E,1)/r! |
Ω |
0.43858630890983 |
Real period |
R |
14.470153828948 |
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 |
116150v1 |
Quadratic twists by: 5 |