Atkin-Lehner |
11- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
31603k |
Isogeny class |
Conductor |
31603 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
1013376 |
Modular degree for the optimal curve |
Δ |
-4.0501829251237E+19 |
Discriminant |
Eigenvalues |
1 1 -2 3 11- 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3976067,3066598459] |
[a1,a2,a3,a4,a6] |
Generators |
[8971:825811:1] |
Generators of the group modulo torsion |
j |
-8521927177047817/49650979433 |
j-invariant |
L |
7.0330832068122 |
L(r)(E,1)/r! |
Ω |
0.2050976181637 |
Real period |
R |
0.81646175887475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31603f1 |
Quadratic twists by: 13 |