Atkin-Lehner |
3+ 7- 19- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
33117b |
Isogeny class |
Conductor |
33117 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
395921583729 = 32 · 72 · 194 · 832 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2134,21986] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:246:1] |
Generators of the group modulo torsion |
j |
1074780248816737/395921583729 |
j-invariant |
L |
2.5381415880045 |
L(r)(E,1)/r! |
Ω |
0.86759034011036 |
Real period |
R |
1.4627534855228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
99351g2 |
Quadratic twists by: -3 |