Atkin-Lehner |
2- 3- 5- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
115050cg |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
75 |
Product of Tamagawa factors cp |
deg |
144000 |
Modular degree for the optimal curve |
Δ |
-1314377220000 = -1 · 25 · 3 · 54 · 135 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 0 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-513,-55383] |
[a1,a2,a3,a4,a6] |
Generators |
[62:359:1] |
Generators of the group modulo torsion |
j |
-23891790625/2103003552 |
j-invariant |
L |
15.131052537038 |
L(r)(E,1)/r! |
Ω |
0.37933649107838 |
Real period |
R |
0.53184276090596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021463 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115050c1 |
Quadratic twists by: 5 |