Atkin-Lehner |
3+ 7- 19- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
33117b |
Isogeny class |
Conductor |
33117 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
9714101350527 = 34 · 7 · 192 · 834 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14769,-680520] |
[a1,a2,a3,a4,a6] |
Generators |
[-562:1303:8] |
Generators of the group modulo torsion |
j |
356269645357604497/9714101350527 |
j-invariant |
L |
2.5381415880045 |
L(r)(E,1)/r! |
Ω |
0.43379517005518 |
Real period |
R |
2.9255069710456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99351g4 |
Quadratic twists by: -3 |