Atkin-Lehner |
2- 3- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
31878be |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-168925547298816 = -1 · 215 · 37 · 7 · 114 · 23 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11+ 5 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-570497,-165713263] |
[a1,a2,a3,a4,a6] |
j |
-28167971010661685449/231722287104 |
j-invariant |
L |
5.2114348547477 |
L(r)(E,1)/r! |
Ω |
0.086857247579142 |
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 |
10626h1 |
Quadratic twists by: -3 |