Atkin-Lehner |
2+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
22736g |
Isogeny class |
Conductor |
22736 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
659344 = 24 · 72 · 292 |
Discriminant |
Eigenvalues |
2+ 1 -3 7- 3 2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-212,-1261] |
[a1,a2,a3,a4,a6] |
j |
1350399232/841 |
j-invariant |
L |
2.5014466250556 |
L(r)(E,1)/r! |
Ω |
1.2507233125279 |
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 |
11368e1 90944ec1 22736b1 |
Quadratic twists by: -4 8 -7 |