Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680ed |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2926562918400 = 214 · 310 · 52 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3612,14384] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:308:1] |
Generators of the group modulo torsion |
j |
436334416/245025 |
j-invariant |
L |
6.8998480410076 |
L(r)(E,1)/r! |
Ω |
0.69338933890947 |
Real period |
R |
2.4877250246808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31680bn2 7920f2 10560bk2 |
Quadratic twists by: -4 8 -3 |