Atkin-Lehner |
2- 3- 5- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
64170bg |
Isogeny class |
Conductor |
64170 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-3996045576000 = -1 · 26 · 36 · 53 · 23 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -6 -1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-932,97031] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:289:1] |
Generators of the group modulo torsion |
j |
-122689385209/5481544000 |
j-invariant |
L |
10.213682246096 |
L(r)(E,1)/r! |
Ω |
0.64960255046609 |
Real period |
R |
1.310247606828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000436 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
7130c2 |
Quadratic twists by: -3 |