Atkin-Lehner |
2+ 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
26862f |
Isogeny class |
Conductor |
26862 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
196791012 = 22 · 33 · 113 · 372 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 11+ -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6328,193202] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:275:1] [43:11:1] |
Generators of the group modulo torsion |
j |
21049724100131/147852 |
j-invariant |
L |
5.5168984235365 |
L(r)(E,1)/r! |
Ω |
1.5994358022603 |
Real period |
R |
0.57487963523757 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
80586ba2 26862t2 |
Quadratic twists by: -3 -11 |