Atkin-Lehner |
2- 3- 17+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
74664f |
Isogeny class |
Conductor |
74664 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-3966430524355584 = -1 · 210 · 310 · 172 · 613 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 5 -5 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69771,-7713578] |
[a1,a2,a3,a4,a6] |
j |
-50317733422372/5313398229 |
j-invariant |
L |
3.5041109650342 |
L(r)(E,1)/r! |
Ω |
0.14600462270678 |
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 |
24888d1 |
Quadratic twists by: -3 |