Atkin-Lehner |
2- 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
26800bf |
Isogeny class |
Conductor |
26800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
77040 |
Modular degree for the optimal curve |
Δ |
-10468750000 = -1 · 24 · 510 · 67 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 -6 4 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-60833,5754838] |
[a1,a2,a3,a4,a6] |
Generators |
[142:2:1] |
Generators of the group modulo torsion |
j |
-159341363200/67 |
j-invariant |
L |
2.1719525432382 |
L(r)(E,1)/r! |
Ω |
1.0445502031589 |
Real period |
R |
2.0793184824144 |
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 |
6700c1 107200cb1 26800bj1 |
Quadratic twists by: -4 8 5 |