Atkin-Lehner |
2+ 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
8280k |
Isogeny class |
Conductor |
8280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-115482299361120000 = -1 · 28 · 322 · 54 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-35607,16553194] |
[a1,a2,a3,a4,a6] |
j |
-26752376766544/618796614375 |
j-invariant |
L |
2.2310857818466 |
L(r)(E,1)/r! |
Ω |
0.27888572273083 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16560q1 66240bq1 2760h1 41400bi1 |
Quadratic twists by: -4 8 -3 5 |