Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
108300r |
Isogeny class |
Conductor |
108300 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5909760 |
Modular degree for the optimal curve |
Δ |
1.1035919264042E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 3 0 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17376133,-27827394863] |
[a1,a2,a3,a4,a6] |
Generators |
[-131386786:367401525:54872] |
Generators of the group modulo torsion |
j |
23658496/45 |
j-invariant |
L |
7.1549124840744 |
L(r)(E,1)/r! |
Ω |
0.073953867823219 |
Real period |
R |
12.093540031883 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999941483 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21660bf1 108300bo1 |
Quadratic twists by: 5 -19 |