Atkin-Lehner |
2- 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
26862t |
Isogeny class |
Conductor |
26862 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
278784 |
Modular degree for the optimal curve |
Δ |
-1017614769109488 = -1 · 24 · 36 · 119 · 37 |
Discriminant |
Eigenvalues |
2- 3- -4 2 11+ 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-46890,-4202604] |
[a1,a2,a3,a4,a6] |
Generators |
[4678:101479:8] |
Generators of the group modulo torsion |
j |
-4835382371/431568 |
j-invariant |
L |
8.4385544154357 |
L(r)(E,1)/r! |
Ω |
0.16139682952144 |
Real period |
R |
4.3570426385578 |
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 |
80586g1 26862f1 |
Quadratic twists by: -3 -11 |