Atkin-Lehner |
2+ 3- 5+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
108150ba |
Isogeny class |
Conductor |
108150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
8763800062500000000 = 28 · 34 · 512 · 75 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -2 4 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-751626,206385148] |
[a1,a2,a3,a4,a6] |
j |
3005441226769660561/560883204000000 |
j-invariant |
L |
1.7622486261533 |
L(r)(E,1)/r! |
Ω |
0.22028096380565 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21630t1 |
Quadratic twists by: 5 |