Atkin-Lehner |
7- 31+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
89621f |
Isogeny class |
Conductor |
89621 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14064 |
Modular degree for the optimal curve |
Δ |
-2778251 = -1 · 72 · 312 · 59 |
Discriminant |
Eigenvalues |
1 1 -3 7- 0 -4 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,30,-45] |
[a1,a2,a3,a4,a6] |
Generators |
[15:54:1] |
Generators of the group modulo torsion |
j |
63905303/56699 |
j-invariant |
L |
3.316515560678 |
L(r)(E,1)/r! |
Ω |
1.4016677982381 |
Real period |
R |
1.1830604812643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002309 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89621b1 |
Quadratic twists by: -7 |