Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640da |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
56891289600 = 212 · 34 · 52 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1336,-15340] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:30:1] |
Generators of the group modulo torsion |
j |
9393931/2025 |
j-invariant |
L |
7.5447032842683 |
L(r)(E,1)/r! |
Ω |
0.80170443500613 |
Real period |
R |
1.1763536137237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013527 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5415a2 86640bs2 |
Quadratic twists by: -4 -19 |