Atkin-Lehner |
2- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
22540l |
Isogeny class |
Conductor |
22540 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
27720 |
Modular degree for the optimal curve |
Δ |
-169715741440 = -1 · 28 · 5 · 78 · 23 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ -2 2 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,915,17023] |
[a1,a2,a3,a4,a6] |
j |
57344/115 |
j-invariant |
L |
2.1100475869516 |
L(r)(E,1)/r! |
Ω |
0.70334919565054 |
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 |
90160ch1 112700a1 22540i1 |
Quadratic twists by: -4 5 -7 |