Atkin-Lehner |
2- 3+ 5- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
30690y |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
Δ |
416137986000000 = 27 · 39 · 56 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-204932,-35642969] |
[a1,a2,a3,a4,a6] |
Generators |
[-259:229:1] |
Generators of the group modulo torsion |
j |
48357046584966267/21142000000 |
j-invariant |
L |
9.9392881776203 |
L(r)(E,1)/r! |
Ω |
0.22439267267205 |
Real period |
R |
1.0546232000215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30690a2 |
Quadratic twists by: -3 |