Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8670h |
Isogeny class |
Conductor |
8670 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1799280 |
Modular degree for the optimal curve |
Δ |
-1.1904242382761E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 3 -1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-80891829,-284914804544] |
[a1,a2,a3,a4,a6] |
j |
-29036780124540841/590490000000 |
j-invariant |
L |
2.2626255689349 |
L(r)(E,1)/r! |
Ω |
0.025140284099277 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69360ci1 26010bx1 43350cf1 8670g1 |
Quadratic twists by: -4 -3 5 17 |