Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480bn |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4.9580236913305E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4589656,-3767862800] |
[a1,a2,a3,a4,a6] |
Generators |
[-2752854:-8274310:2197] |
Generators of the group modulo torsion |
j |
2610383204210122997209/12104550027662400 |
j-invariant |
L |
3.7021889826128 |
L(r)(E,1)/r! |
Ω |
0.10317529053717 |
Real period |
R |
8.9706289251468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2310g2 73920hg2 55440dx2 92400hf2 |
Quadratic twists by: -4 8 -3 5 |