Atkin-Lehner |
5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
51425bl |
Isogeny class |
Conductor |
51425 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
324000 |
Modular degree for the optimal curve |
Δ |
-59837794451875 = -1 · 54 · 117 · 173 |
Discriminant |
Eigenvalues |
2 0 5- 0 11- 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-341825,76923481] |
[a1,a2,a3,a4,a6] |
j |
-3989321625600/54043 |
j-invariant |
L |
3.4159280870967 |
L(r)(E,1)/r! |
Ω |
0.56932134777583 |
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 |
51425k1 4675n1 |
Quadratic twists by: 5 -11 |