Atkin-Lehner |
2+ 3- 5- 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
108150bt |
Isogeny class |
Conductor |
108150 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
746496 |
Modular degree for the optimal curve |
Δ |
-1780174609920000 = -1 · 212 · 39 · 54 · 73 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 6 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,27649,-992302] |
[a1,a2,a3,a4,a6] |
Generators |
[87:1396:1] |
Generators of the group modulo torsion |
j |
3740283828237575/2848279375872 |
j-invariant |
L |
7.1004399767025 |
L(r)(E,1)/r! |
Ω |
0.2628052577953 |
Real period |
R |
0.5003310441207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012553 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108150ce1 |
Quadratic twists by: 5 |