Atkin-Lehner |
2+ 5- 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
8930b |
Isogeny class |
Conductor |
8930 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
177744 |
Modular degree for the optimal curve |
Δ |
211270369280000000 = 223 · 57 · 193 · 47 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 -1 7 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-701457,224749589] |
[a1,a2,a3,a4,a6] |
j |
38170499223892336150681/211270369280000000 |
j-invariant |
L |
2.224632799473 |
L(r)(E,1)/r! |
Ω |
0.317804685639 |
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 |
71440r1 80370bn1 44650r1 |
Quadratic twists by: -4 -3 5 |