Atkin-Lehner |
2- 5+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
7210d |
Isogeny class |
Conductor |
7210 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-68535837440 = -1 · 28 · 5 · 72 · 1033 |
Discriminant |
Eigenvalues |
2- 3 5+ 7+ -2 0 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1803,-31589] |
[a1,a2,a3,a4,a6] |
j |
-647865799013889/68535837440 |
j-invariant |
L |
5.8266755496129 |
L(r)(E,1)/r! |
Ω |
0.36416722185081 |
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 |
57680q1 64890bc1 36050k1 50470r1 |
Quadratic twists by: -4 -3 5 -7 |