Atkin-Lehner |
2- 3- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
103824bs |
Isogeny class |
Conductor |
103824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7266816 |
Modular degree for the optimal curve |
Δ |
-2502226278024818688 = -1 · 212 · 325 · 7 · 103 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ -5 0 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17537952,-28269491920] |
[a1,a2,a3,a4,a6] |
Generators |
[75898944402132092:4545726168901068531:11185320964544] |
Generators of the group modulo torsion |
j |
-199789595306121723904/837990517707 |
j-invariant |
L |
3.3701143980203 |
L(r)(E,1)/r! |
Ω |
0.036887118461035 |
Real period |
R |
22.8407269165 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6489f1 34608n1 |
Quadratic twists by: -4 -3 |