Atkin-Lehner |
2+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8330c |
Isogeny class |
Conductor |
8330 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-7080616828250 = -1 · 2 · 53 · 78 · 173 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7- 6 7 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2083,132287] |
[a1,a2,a3,a4,a6] |
j |
-8502154921/60184250 |
j-invariant |
L |
1.2826881937157 |
L(r)(E,1)/r! |
Ω |
0.64134409685783 |
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 |
66640bd1 74970ef1 41650cc1 1190c1 |
Quadratic twists by: -4 -3 5 -7 |