Atkin-Lehner |
3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
705c |
Isogeny class |
Conductor |
705 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
88 |
Modular degree for the optimal curve |
Δ |
-171315 = -1 · 36 · 5 · 47 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 -6 5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,9,20] |
[a1,a2,a3,a4,a6] |
j |
71991296/171315 |
j-invariant |
L |
1.4948245968608 |
L(r)(E,1)/r! |
Ω |
2.2422368952911 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
11280m1 45120j1 2115k1 3525f1 |
Quadratic twists by: -4 8 -3 5 |