Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480bp |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-33333691776000000 = -1 · 213 · 3 · 56 · 72 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-387696,93458496] |
[a1,a2,a3,a4,a6] |
Generators |
[128:6776:1] |
Generators of the group modulo torsion |
j |
-1573398910560073969/8138108343750 |
j-invariant |
L |
3.2455212665733 |
L(r)(E,1)/r! |
Ω |
0.37065341939689 |
Real period |
R |
0.3648423181794 |
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 |
2310u4 73920hi4 55440ed4 92400hk4 |
Quadratic twists by: -4 8 -3 5 |