Atkin-Lehner |
2- 5- 23+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
23230k |
Isogeny class |
Conductor |
23230 |
Conductor |
∏ cp |
104 |
Product of Tamagawa factors cp |
deg |
36608 |
Modular degree for the optimal curve |
Δ |
-273556480000 = -1 · 213 · 54 · 232 · 101 |
Discriminant |
Eigenvalues |
2- -2 5- -3 -2 -2 -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1420,32400] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:180:1] [-20:240:1] |
Generators of the group modulo torsion |
j |
-316670684057281/273556480000 |
j-invariant |
L |
8.0107071550987 |
L(r)(E,1)/r! |
Ω |
0.89523933485169 |
Real period |
R |
0.086039595601846 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116150f1 |
Quadratic twists by: 5 |