Atkin-Lehner |
2+ 3- 5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
67650be |
Isogeny class |
Conductor |
67650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
7687680 |
Modular degree for the optimal curve |
Δ |
1.55312569368E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-49745326,-135035217952] |
[a1,a2,a3,a4,a6] |
Generators |
[-4064:5567:1] |
Generators of the group modulo torsion |
j |
1394056899350950653025/159040071032832 |
j-invariant |
L |
5.2481618286556 |
L(r)(E,1)/r! |
Ω |
0.056847904214465 |
Real period |
R |
5.7699596641662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994247 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67650cd1 |
Quadratic twists by: 5 |