Atkin-Lehner |
2+ 3- 5+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
108150bk |
Isogeny class |
Conductor |
108150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1344000 |
Modular degree for the optimal curve |
Δ |
-388973985792000000 = -1 · 225 · 3 · 56 · 74 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 3 -2 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,85249,-28429102] |
[a1,a2,a3,a4,a6] |
Generators |
[12054:262147:27] |
Generators of the group modulo torsion |
j |
4385093815095839/24894335090688 |
j-invariant |
L |
6.804083774302 |
L(r)(E,1)/r! |
Ω |
0.15056487821548 |
Real period |
R |
5.6487972565687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009271 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4326h1 |
Quadratic twists by: 5 |