Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
34320bq |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2407680 |
Modular degree for the optimal curve |
Δ |
-5.003683702875E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 13+ 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-53378781,150093116919] |
[a1,a2,a3,a4,a6] |
Generators |
[4275:6738:1] |
Generators of the group modulo torsion |
j |
-65703682316544535580729344/1954563946435546875 |
j-invariant |
L |
6.3998790392751 |
L(r)(E,1)/r! |
Ω |
0.15405945420139 |
Real period |
R |
5.1927022853374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8580a1 102960ej1 |
Quadratic twists by: -4 -3 |