Atkin-Lehner |
3+ 5- 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
33915f |
Isogeny class |
Conductor |
33915 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.2464293974807E+22 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7+ -4 6 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-36771340,-85671767470] |
[a1,a2,a3,a4,a6] |
j |
5498599424293740348235028161/12464293974807187190475 |
j-invariant |
L |
0.98107300506279 |
L(r)(E,1)/r! |
Ω |
0.061317062815884 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101745m6 |
Quadratic twists by: -3 |