Atkin-Lehner |
3- 23+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
7107a |
Isogeny class |
Conductor |
7107 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
552 |
Modular degree for the optimal curve |
Δ |
-7107 = -1 · 3 · 23 · 103 |
Discriminant |
Eigenvalues |
-1 3- 4 2 -2 5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,4,3] |
[a1,a2,a3,a4,a6] |
j |
6967871/7107 |
j-invariant |
L |
2.7679799938355 |
L(r)(E,1)/r! |
Ω |
2.7679799938355 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113712n1 21321c1 |
Quadratic twists by: -4 -3 |