Atkin-Lehner |
2+ 3+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
4278b |
Isogeny class |
Conductor |
4278 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-34285303801329408 = -1 · 28 · 38 · 23 · 316 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 0 -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-12869711,-17775933531] |
[a1,a2,a3,a4,a6] |
j |
-235738300667365635295923577/34285303801329408 |
j-invariant |
L |
0.23912699294516 |
L(r)(E,1)/r! |
Ω |
0.039854498824194 |
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 |
34224bk1 12834t1 106950cj1 98394h1 |
Quadratic twists by: -4 -3 5 -23 |