Atkin-Lehner |
2- 5+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
7210c |
Isogeny class |
Conductor |
7210 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-4946060 = -1 · 22 · 5 · 74 · 103 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 6 2 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-21,-115] |
[a1,a2,a3,a4,a6] |
j |
-1027243729/4946060 |
j-invariant |
L |
4.0332969597791 |
L(r)(E,1)/r! |
Ω |
1.0083242399448 |
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 |
57680m1 64890be1 36050j1 50470q1 |
Quadratic twists by: -4 -3 5 -7 |