Atkin-Lehner |
2- 3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
26832k |
Isogeny class |
Conductor |
26832 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-2658299904 = -1 · 212 · 33 · 13 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-112,2560] |
[a1,a2,a3,a4,a6] |
j |
-38272753/648999 |
j-invariant |
L |
2.4288780513103 |
L(r)(E,1)/r! |
Ω |
1.2144390256552 |
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 |
1677b1 107328ck1 80496bd1 |
Quadratic twists by: -4 8 -3 |