Atkin-Lehner |
2+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
6958d |
Isogeny class |
Conductor |
6958 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-52076168419072 = -1 · 28 · 79 · 712 |
Discriminant |
Eigenvalues |
2+ -2 2 7- 4 0 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18205,1005624] |
[a1,a2,a3,a4,a6] |
j |
-5671177348537/442640128 |
j-invariant |
L |
1.239100276274 |
L(r)(E,1)/r! |
Ω |
0.61955013813701 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55664ba1 62622cp1 994c1 |
Quadratic twists by: -4 -3 -7 |