Atkin-Lehner |
2- 3- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
108780bk |
Isogeny class |
Conductor |
108780 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
22464 |
Modular degree for the optimal curve |
Δ |
-19580400 = -1 · 24 · 33 · 52 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 0 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-170,825] |
[a1,a2,a3,a4,a6] |
Generators |
[10:-15:1] |
Generators of the group modulo torsion |
j |
-697118464/24975 |
j-invariant |
L |
9.932885852951 |
L(r)(E,1)/r! |
Ω |
2.1540306933924 |
Real period |
R |
0.25618343945171 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108780a1 |
Quadratic twists by: -7 |