Atkin-Lehner |
3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
4095f |
Isogeny class |
Conductor |
4095 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
116424945 = 39 · 5 · 7 · 132 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- -2 13- 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-137,-296] |
[a1,a2,a3,a4,a6] |
j |
14348907/5915 |
j-invariant |
L |
1.4478651504947 |
L(r)(E,1)/r! |
Ω |
1.4478651504947 |
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 |
65520ce1 4095c1 20475a1 28665d1 |
Quadratic twists by: -4 -3 5 -7 |