Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
21700c |
Isogeny class |
Conductor |
21700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6480 |
Modular degree for the optimal curve |
Δ |
-131849200 = -1 · 24 · 52 · 73 · 312 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 5 -2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-185,-1115] |
[a1,a2,a3,a4,a6] |
Generators |
[76:651:1] |
Generators of the group modulo torsion |
j |
-1750567680/329623 |
j-invariant |
L |
5.4485998900897 |
L(r)(E,1)/r! |
Ω |
0.64071992059783 |
Real period |
R |
1.4173119213061 |
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 |
86800be1 21700e1 |
Quadratic twists by: -4 5 |