Atkin-Lehner |
2+ 3+ 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
40584b |
Isogeny class |
Conductor |
40584 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
-14378667696 = -1 · 24 · 312 · 19 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,321,-5436] |
[a1,a2,a3,a4,a6] |
j |
227910944768/898666731 |
j-invariant |
L |
0.63419443336546 |
L(r)(E,1)/r! |
Ω |
0.63419443335507 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81168t1 121752bk1 |
Quadratic twists by: -4 -3 |