Atkin-Lehner |
3+ 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
23265a |
Isogeny class |
Conductor |
23265 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
-204859106582625 = -1 · 39 · 53 · 116 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 1 11+ -3 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3458,-692198] |
[a1,a2,a3,a4,a6] |
j |
-232268138523/10407920875 |
j-invariant |
L |
0.98673328958438 |
L(r)(E,1)/r! |
Ω |
0.24668332239609 |
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 |
23265i1 116325a1 |
Quadratic twists by: -3 5 |