Atkin-Lehner |
2- 3+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
20874bc |
Isogeny class |
Conductor |
20874 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
66306741102 = 2 · 34 · 78 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 0 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-37045,-2759779] |
[a1,a2,a3,a4,a6] |
Generators |
[3718:69993:8] |
Generators of the group modulo torsion |
j |
47788676405569/563598 |
j-invariant |
L |
4.5729465380728 |
L(r)(E,1)/r! |
Ω |
0.34412593243285 |
Real period |
R |
6.6442922591501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62622bg2 2982l2 |
Quadratic twists by: -3 -7 |