Atkin-Lehner |
2+ 7+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
68614b |
Isogeny class |
Conductor |
68614 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
-4993275988792 = -1 · 23 · 73 · 137 · 29 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ 0 13+ 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1179,106472] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:103:1] |
Generators of the group modulo torsion |
j |
37595375/1034488 |
j-invariant |
L |
2.5950713123705 |
L(r)(E,1)/r! |
Ω |
0.57745399832599 |
Real period |
R |
1.1234969885085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995564 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5278g1 |
Quadratic twists by: 13 |