Atkin-Lehner |
2- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
39710s |
Isogeny class |
Conductor |
39710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5356222104140109620 = 22 · 5 · 112 · 1912 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 11+ -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-605946,-143647597] |
[a1,a2,a3,a4,a6] |
Generators |
[1293080793602031:-21065075989706897:1294672602699] |
Generators of the group modulo torsion |
j |
523002686860009/113851032020 |
j-invariant |
L |
12.614402236095 |
L(r)(E,1)/r! |
Ω |
0.17376487115153 |
Real period |
R |
18.148665712034 |
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 |
2090d2 |
Quadratic twists by: -19 |