Atkin-Lehner |
2- 3- 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
108780bm |
Isogeny class |
Conductor |
108780 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-85233735745200 = -1 · 24 · 33 · 52 · 78 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,6795,-386100] |
[a1,a2,a3,a4,a6] |
Generators |
[93:-1029:1] |
Generators of the group modulo torsion |
j |
18429771776/45279675 |
j-invariant |
L |
10.421794899775 |
L(r)(E,1)/r! |
Ω |
0.3131894528557 |
Real period |
R |
0.92434244047495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999857645 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15540b1 |
Quadratic twists by: -7 |