Atkin-Lehner |
2- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
86632ba |
Isogeny class |
Conductor |
86632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
-186371075072 = -1 · 210 · 77 · 13 · 17 |
Discriminant |
Eigenvalues |
2- -1 0 7- 5 13- 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-408,21148] |
[a1,a2,a3,a4,a6] |
Generators |
[54:392:1] |
Generators of the group modulo torsion |
j |
-62500/1547 |
j-invariant |
L |
5.4331311429216 |
L(r)(E,1)/r! |
Ω |
0.84644191256822 |
Real period |
R |
0.80234849248536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12376h1 |
Quadratic twists by: -7 |