Atkin-Lehner |
2+ 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
34914f |
Isogeny class |
Conductor |
34914 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-7363575136321536 = -1 · 216 · 3 · 11 · 237 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-36776,4925760] |
[a1,a2,a3,a4,a6] |
j |
-37159393753/49741824 |
j-invariant |
L |
0.75425287991237 |
L(r)(E,1)/r! |
Ω |
0.3771264399526 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104742cj1 1518f1 |
Quadratic twists by: -3 -23 |