Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86800bo |
Isogeny class |
Conductor |
86800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
30136960000000 = 213 · 57 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -2 2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1045075,411215250] |
[a1,a2,a3,a4,a6] |
Generators |
[559:1302:1] |
Generators of the group modulo torsion |
j |
1972359673792929/470890 |
j-invariant |
L |
5.8196844066822 |
L(r)(E,1)/r! |
Ω |
0.52652242609632 |
Real period |
R |
1.3816326033275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007664 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10850e2 17360p2 |
Quadratic twists by: -4 5 |