Atkin-Lehner |
5+ 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
4495b |
Isogeny class |
Conductor |
4495 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-539961875 = -1 · 54 · 29 · 313 |
Discriminant |
Eigenvalues |
2 3 5+ 1 3 2 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-43,1123] |
[a1,a2,a3,a4,a6] |
j |
-8792838144/539961875 |
j-invariant |
L |
8.1537695023448 |
L(r)(E,1)/r! |
Ω |
1.3589615837241 |
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 |
71920j1 40455p1 22475d1 |
Quadratic twists by: -4 -3 5 |