Atkin-Lehner |
2+ 3- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
69678k |
Isogeny class |
Conductor |
69678 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1070532722322 = 2 · 36 · 76 · 792 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3978,83754] |
[a1,a2,a3,a4,a6] |
Generators |
[9:216:1] |
Generators of the group modulo torsion |
j |
81182737/12482 |
j-invariant |
L |
3.4331904621266 |
L(r)(E,1)/r! |
Ω |
0.8363921955556 |
Real period |
R |
1.026190368506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001852 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7742m2 1422c2 |
Quadratic twists by: -3 -7 |