Atkin-Lehner |
2+ 3- 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
26862g |
Isogeny class |
Conductor |
26862 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
25126290595296 = 25 · 32 · 119 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11+ -4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8404905,9378099916] |
[a1,a2,a3,a4,a6] |
Generators |
[34256022528:-2830359085:20346417] |
Generators of the group modulo torsion |
j |
27847608097366043/10656 |
j-invariant |
L |
6.2705084113295 |
L(r)(E,1)/r! |
Ω |
0.40348336522573 |
Real period |
R |
15.540934154303 |
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 |
80586bc2 26862u2 |
Quadratic twists by: -3 -11 |