Atkin-Lehner |
2+ 3- 5- 11- 103- |
Signs for the Atkin-Lehner involutions |
Class |
33990r |
Isogeny class |
Conductor |
33990 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
28883002500000000 = 28 · 32 · 510 · 112 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11- -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-185323,-29613994] |
[a1,a2,a3,a4,a6] |
Generators |
[-225:952:1] |
Generators of the group modulo torsion |
j |
703895695188054569641/28883002500000000 |
j-invariant |
L |
6.0629172343097 |
L(r)(E,1)/r! |
Ω |
0.23068302638806 |
Real period |
R |
2.6282459222253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
101970bt2 |
Quadratic twists by: -3 |