Atkin-Lehner |
2- 5- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
113900g |
Isogeny class |
Conductor |
113900 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
432000 |
Modular degree for the optimal curve |
Δ |
-54811049120000 = -1 · 28 · 54 · 17 · 674 |
Discriminant |
Eigenvalues |
2- 1 5- -1 0 -5 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-197308,33669988] |
[a1,a2,a3,a4,a6] |
Generators |
[252:122:1] [303:1340:1] |
Generators of the group modulo torsion |
j |
-5309333595893200/342569057 |
j-invariant |
L |
13.056261557294 |
L(r)(E,1)/r! |
Ω |
0.59689111788273 |
Real period |
R |
0.60760483995185 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999241 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113900d1 |
Quadratic twists by: 5 |