Atkin-Lehner |
2- 3- 5- 29- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
122670ch |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
901120 |
Modular degree for the optimal curve |
Δ |
1953550172160000 = 220 · 37 · 54 · 29 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-482252,129004751] |
[a1,a2,a3,a4,a6] |
Generators |
[411:109:1] |
Generators of the group modulo torsion |
j |
17014431858592996729/2679767040000 |
j-invariant |
L |
13.460227869579 |
L(r)(E,1)/r! |
Ω |
0.45164833466868 |
Real period |
R |
1.4901226098381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999746429 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40890o1 |
Quadratic twists by: -3 |