Atkin-Lehner |
19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
26011b |
Isogeny class |
Conductor |
26011 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
984960 |
Modular degree for the optimal curve |
Δ |
6.4228261462385E+19 |
Discriminant |
Eigenvalues |
0 3 2 -1 3 -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1007584,53552884] |
[a1,a2,a3,a4,a6] |
Generators |
[-34504932:418818212:35937] |
Generators of the group modulo torsion |
j |
44091731607552/25033168477 |
j-invariant |
L |
8.6387212332764 |
L(r)(E,1)/r! |
Ω |
0.16876428467867 |
Real period |
R |
12.797022263515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
703a1 |
Quadratic twists by: 37 |