Atkin-Lehner |
2+ 3+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
26832c |
Isogeny class |
Conductor |
26832 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
50229504 = 28 · 33 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 -2 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-404,-2976] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:4:1] [24:24:1] |
Generators of the group modulo torsion |
j |
28556329552/196209 |
j-invariant |
L |
5.9641732262999 |
L(r)(E,1)/r! |
Ω |
1.0651100751654 |
Real period |
R |
5.5995838978187 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13416f1 107328ch1 80496n1 |
Quadratic twists by: -4 8 -3 |