Atkin-Lehner |
2+ 3- 5+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
108150bi |
Isogeny class |
Conductor |
108150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
14600250000 = 24 · 34 · 56 · 7 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-676,-3502] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:41:1] |
Generators of the group modulo torsion |
j |
2181825073/934416 |
j-invariant |
L |
6.1725643622717 |
L(r)(E,1)/r! |
Ω |
0.9733746147433 |
Real period |
R |
0.79267584170097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000042147 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4326d1 |
Quadratic twists by: 5 |