Atkin-Lehner |
2- 3+ 5+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
108150cc |
Isogeny class |
Conductor |
108150 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
2826240 |
Modular degree for the optimal curve |
Δ |
97375556250000 = 24 · 32 · 58 · 75 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8114463,-8900262219] |
[a1,a2,a3,a4,a6] |
Generators |
[4405:199922:1] |
Generators of the group modulo torsion |
j |
3781664898168880813609/6232035600 |
j-invariant |
L |
10.338397384446 |
L(r)(E,1)/r! |
Ω |
0.089450878133128 |
Real period |
R |
2.8894063489446 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999977351 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21630e1 |
Quadratic twists by: 5 |