Atkin-Lehner |
5- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
123725y |
Isogeny class |
Conductor |
123725 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
319200 |
Modular degree for the optimal curve |
Δ |
-2547321441875 = -1 · 54 · 79 · 101 |
Discriminant |
Eigenvalues |
2 0 5- 7- 6 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-8575,315131] |
[a1,a2,a3,a4,a6] |
j |
-2764800/101 |
j-invariant |
L |
4.8428177570763 |
L(r)(E,1)/r! |
Ω |
0.80713646618755 |
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 |
123725r1 123725w1 |
Quadratic twists by: 5 -7 |