Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
18480ct |
Isogeny class |
Conductor |
18480 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-56126973251543040 = -1 · 213 · 32 · 5 · 712 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,45264,-10763820] |
[a1,a2,a3,a4,a6] |
Generators |
[204:2646:1] |
Generators of the group modulo torsion |
j |
2503876820718671/13702874328990 |
j-invariant |
L |
6.2369791619851 |
L(r)(E,1)/r! |
Ω |
0.17712138162148 |
Real period |
R |
1.4672092627684 |
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 |
2310m4 73920ft3 55440en3 92400dw3 |
Quadratic twists by: -4 8 -3 5 |