Atkin-Lehner |
3+ 5- 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
33915g |
Isogeny class |
Conductor |
33915 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
56361134025 = 32 · 52 · 74 · 172 · 192 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ -4 -6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1665,22830] |
[a1,a2,a3,a4,a6] |
Generators |
[-346:1189:8] [-20:230:1] |
Generators of the group modulo torsion |
j |
510484697346961/56361134025 |
j-invariant |
L |
4.7644869169868 |
L(r)(E,1)/r! |
Ω |
1.0809475283352 |
Real period |
R |
2.2038474542446 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
101745n2 |
Quadratic twists by: -3 |