Atkin-Lehner |
2+ 5+ 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
88550j |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-6857312000000 = -1 · 211 · 56 · 7 · 113 · 23 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ 11- 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,774,-125652] |
[a1,a2,a3,a4,a6] |
j |
3288008303/438867968 |
j-invariant |
L |
2.1232118493898 |
L(r)(E,1)/r! |
Ω |
0.35386866732687 |
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 |
3542s1 |
Quadratic twists by: 5 |