Atkin-Lehner |
2+ 3+ 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
101430i |
Isogeny class |
Conductor |
101430 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
653184 |
Modular degree for the optimal curve |
Δ |
3579941421000 = 23 · 33 · 53 · 78 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 -1 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-320469,69907725] |
[a1,a2,a3,a4,a6] |
j |
23384843386443/23000 |
j-invariant |
L |
1.3246737746133 |
L(r)(E,1)/r! |
Ω |
0.6623368850974 |
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 |
101430ct2 101430b1 |
Quadratic twists by: -3 -7 |