Atkin-Lehner |
3- 5+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
119925bg |
Isogeny class |
Conductor |
119925 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-1377768481171875 = -1 · 39 · 57 · 13 · 413 |
Discriminant |
Eigenvalues |
2 3- 5+ -2 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-120675,-16233719] |
[a1,a2,a3,a4,a6] |
Generators |
[209860:11946793:64] |
Generators of the group modulo torsion |
j |
-17061927030784/120956355 |
j-invariant |
L |
14.323938264544 |
L(r)(E,1)/r! |
Ω |
0.12802103267925 |
Real period |
R |
6.99296138509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039416 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39975j1 23985n1 |
Quadratic twists by: -3 5 |