Atkin-Lehner |
3- 5+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
44505c |
Isogeny class |
Conductor |
44505 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-148983964453125 = -1 · 36 · 58 · 233 · 43 |
Discriminant |
Eigenvalues |
-1 3- 5+ -2 -1 5 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,12262,-270858] |
[a1,a2,a3,a4,a6] |
j |
279713432716199/204367578125 |
j-invariant |
L |
0.64961262714191 |
L(r)(E,1)/r! |
Ω |
0.32480631352605 |
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 |
4945d1 |
Quadratic twists by: -3 |