Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680bb |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-551061483945984000 = -1 · 239 · 36 · 53 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 11- -2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,170772,-23190352] |
[a1,a2,a3,a4,a6] |
Generators |
[494552198:32214056960:117649] |
Generators of the group modulo torsion |
j |
2882081488391/2883584000 |
j-invariant |
L |
6.6401648153851 |
L(r)(E,1)/r! |
Ω |
0.1587505435017 |
Real period |
R |
10.456916664531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31680cq2 990l2 3520j2 |
Quadratic twists by: -4 8 -3 |