Atkin-Lehner |
2- 3+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22968l |
Isogeny class |
Conductor |
22968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-258258806784 = -1 · 211 · 33 · 115 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -1 3 11+ -5 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1317,-16106] |
[a1,a2,a3,a4,a6] |
j |
4568644026/4670479 |
j-invariant |
L |
1.0676620790781 |
L(r)(E,1)/r! |
Ω |
0.53383103953907 |
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 |
45936g1 22968e1 |
Quadratic twists by: -4 -3 |