Atkin-Lehner |
2- 3- 7+ 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
39606r |
Isogeny class |
Conductor |
39606 |
Conductor |
∏ cp |
416 |
Product of Tamagawa factors cp |
Δ |
1699446865600512 = 213 · 32 · 72 · 234 · 412 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -6 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-390053,-93774975] |
[a1,a2,a3,a4,a6] |
Generators |
[-362:319:1] |
Generators of the group modulo torsion |
j |
6562882808950208028625/1699446865600512 |
j-invariant |
L |
10.086225808711 |
L(r)(E,1)/r! |
Ω |
0.19104047617375 |
Real period |
R |
0.50765650510714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118818e2 |
Quadratic twists by: -3 |