Atkin-Lehner |
11- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31603j |
Isogeny class |
Conductor |
31603 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-58749977 = -1 · 112 · 134 · 17 |
Discriminant |
Eigenvalues |
-1 -1 0 -3 11- 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-88,450] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-81:1] [8:14:1] |
Generators of the group modulo torsion |
j |
-2640625/2057 |
j-invariant |
L |
4.2153294134458 |
L(r)(E,1)/r! |
Ω |
1.8159591920507 |
Real period |
R |
0.3868781332293 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31603b1 |
Quadratic twists by: 13 |