Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86800bu |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
513034385920000000 = 215 · 57 · 7 · 315 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 3 1 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2059758008,35981619014512] |
[a1,a2,a3,a4,a6] |
Generators |
[705414:580150:27] |
Generators of the group modulo torsion |
j |
15100535141642459644213681/8016162280 |
j-invariant |
L |
5.8200161358062 |
L(r)(E,1)/r! |
Ω |
0.12544786617976 |
Real period |
R |
5.7992378779793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999960745 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10850g2 17360bb2 |
Quadratic twists by: -4 5 |