Atkin-Lehner |
2+ 3- 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
9870i |
Isogeny class |
Conductor |
9870 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
5216120340480 = 224 · 33 · 5 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-7843,243038] |
[a1,a2,a3,a4,a6] |
j |
53344635908334121/5216120340480 |
j-invariant |
L |
2.2315599455993 |
L(r)(E,1)/r! |
Ω |
0.74385331519978 |
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 |
78960ce1 29610s1 49350bs1 69090a1 |
Quadratic twists by: -4 -3 5 -7 |