Atkin-Lehner |
2+ 3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
33768c |
Isogeny class |
Conductor |
33768 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
Δ |
-8.8437761935865E+28 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -6 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17795294271,-913816752266574] |
[a1,a2,a3,a4,a6] |
Generators |
[93317290769:-39484635655276:357911] |
Generators of the group modulo torsion |
j |
-123682420693557166115754136944/17551186687089033351961 |
j-invariant |
L |
4.2910781135315 |
L(r)(E,1)/r! |
Ω |
0.0065356617605019 |
Real period |
R |
14.921901737579 |
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 |
67536f2 33768n2 |
Quadratic twists by: -4 -3 |