Atkin-Lehner |
3- 5+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
119925z |
Isogeny class |
Conductor |
119925 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
675360 |
Modular degree for the optimal curve |
Δ |
26292104033203125 = 36 · 510 · 133 · 412 |
Discriminant |
Eigenvalues |
0 3- 5+ 2 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-123750,14828906] |
[a1,a2,a3,a4,a6] |
Generators |
[-326:4530:1] |
Generators of the group modulo torsion |
j |
29439590400/3693157 |
j-invariant |
L |
5.9982209430634 |
L(r)(E,1)/r! |
Ω |
0.3627841273049 |
Real period |
R |
2.755642824845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000013139 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13325c1 119925bn1 |
Quadratic twists by: -3 5 |