Atkin-Lehner |
3- 5+ 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
31815f |
Isogeny class |
Conductor |
31815 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3904177725 = 37 · 52 · 7 · 1012 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -2 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1103,-13494] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:27:1] |
Generators of the group modulo torsion |
j |
203401212841/5355525 |
j-invariant |
L |
2.8324840965782 |
L(r)(E,1)/r! |
Ω |
0.82982070507246 |
Real period |
R |
1.7066843953542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10605b2 |
Quadratic twists by: -3 |