Atkin-Lehner |
2- 3+ 5+ 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
108150ca |
Isogeny class |
Conductor |
108150 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
2595600000000 = 210 · 32 · 58 · 7 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8588,292781] |
[a1,a2,a3,a4,a6] |
Generators |
[105:-803:1] |
Generators of the group modulo torsion |
j |
4483146738169/166118400 |
j-invariant |
L |
9.1890394492634 |
L(r)(E,1)/r! |
Ω |
0.80494325203172 |
Real period |
R |
0.57078803065945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999748259 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21630c1 |
Quadratic twists by: 5 |