Atkin-Lehner |
2+ 3- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
97650bj |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
95780917968750 = 2 · 36 · 510 · 7 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -6 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13167,-338009] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:188:1] |
Generators of the group modulo torsion |
j |
22164361129/8408750 |
j-invariant |
L |
3.7172886541662 |
L(r)(E,1)/r! |
Ω |
0.46011807835083 |
Real period |
R |
2.019747123992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999979509 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10850y2 19530bz2 |
Quadratic twists by: -3 5 |