Atkin-Lehner |
5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
28175f |
Isogeny class |
Conductor |
28175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-1771943359375 = -1 · 510 · 73 · 232 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7- 0 4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,937,-63008] |
[a1,a2,a3,a4,a6] |
j |
16974593/330625 |
j-invariant |
L |
0.81441267228838 |
L(r)(E,1)/r! |
Ω |
0.40720633614332 |
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 |
5635i1 28175e1 |
Quadratic twists by: 5 -7 |