Atkin-Lehner |
2+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
26048a |
Isogeny class |
Conductor |
26048 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-74783836340224 = -1 · 227 · 11 · 373 |
Discriminant |
Eigenvalues |
2+ 2 3 2 11+ -2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3169,-420639] |
[a1,a2,a3,a4,a6] |
Generators |
[46232920560:-987338289063:99252847] |
Generators of the group modulo torsion |
j |
-13430356633/285277696 |
j-invariant |
L |
9.8048204448944 |
L(r)(E,1)/r! |
Ω |
0.26467908031589 |
Real period |
R |
18.522091797343 |
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 |
26048j2 814a2 |
Quadratic twists by: -4 8 |