Atkin-Lehner |
2- 7- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
103334bj |
Isogeny class |
Conductor |
103334 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-1.5326976696046E+19 |
Discriminant |
Eigenvalues |
2- 2 -1 7- 11- 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,492814,133425535] |
[a1,a2,a3,a4,a6] |
Generators |
[317:17775:1] |
Generators of the group modulo torsion |
j |
109392462171942643991/126669228892939264 |
j-invariant |
L |
15.769797426586 |
L(r)(E,1)/r! |
Ω |
0.14752217746931 |
Real period |
R |
0.44540753423366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948335 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103334d1 |
Quadratic twists by: -11 |