Atkin-Lehner |
2+ 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48510bd |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
-97855301738779200 = -1 · 26 · 39 · 52 · 710 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11- 4 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,107595,6452725] |
[a1,a2,a3,a4,a6] |
j |
668944031/475200 |
j-invariant |
L |
1.7103787888175 |
L(r)(E,1)/r! |
Ω |
0.2137973485155 |
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 |
16170bp1 48510bh1 |
Quadratic twists by: -3 -7 |