Atkin-Lehner |
2+ 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20230h |
Isogeny class |
Conductor |
20230 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
176256 |
Modular degree for the optimal curve |
Δ |
69148590785400700 = 22 · 52 · 73 · 1710 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ 0 2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-210542,34877896] |
[a1,a2,a3,a4,a6] |
j |
511981129/34300 |
j-invariant |
L |
1.3619842570804 |
L(r)(E,1)/r! |
Ω |
0.3404960642701 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101150ch1 20230f1 |
Quadratic twists by: 5 17 |