Atkin-Lehner |
2- 3- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
71568bv |
Isogeny class |
Conductor |
71568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
-5251913389965312 = -1 · 229 · 39 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 0 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,25341,-3121918] |
[a1,a2,a3,a4,a6] |
j |
602708730623/1758855168 |
j-invariant |
L |
1.7646022208582 |
L(r)(E,1)/r! |
Ω |
0.22057527692028 |
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 |
8946f1 23856v1 |
Quadratic twists by: -4 -3 |