Atkin-Lehner |
2- 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
7210g |
Isogeny class |
Conductor |
7210 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3168 |
Modular degree for the optimal curve |
Δ |
-7065800 = -1 · 23 · 52 · 73 · 103 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 6 5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-686,6860] |
[a1,a2,a3,a4,a6] |
j |
-35705541701089/7065800 |
j-invariant |
L |
4.5833862432844 |
L(r)(E,1)/r! |
Ω |
2.2916931216422 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
57680j1 64890br1 36050e1 50470n1 |
Quadratic twists by: -4 -3 5 -7 |