Atkin-Lehner |
3- 7- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
111573bb |
Isogeny class |
Conductor |
111573 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2949120 |
Modular degree for the optimal curve |
Δ |
-1.8744948998788E+19 |
Discriminant |
Eigenvalues |
-2 3- -3 7- 11+ -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-71589,-208435698] |
[a1,a2,a3,a4,a6] |
Generators |
[770:13891:1] |
Generators of the group modulo torsion |
j |
-473093337088/218558899251 |
j-invariant |
L |
2.0165401473473 |
L(r)(E,1)/r! |
Ω |
0.097666474172591 |
Real period |
R |
2.5809011945653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999942769 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37191j1 15939e1 |
Quadratic twists by: -3 -7 |