Atkin-Lehner |
11+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31603c |
Isogeny class |
Conductor |
31603 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
97344 |
Modular degree for the optimal curve |
Δ |
-1677958093097 = -1 · 112 · 138 · 17 |
Discriminant |
Eigenvalues |
-1 1 2 3 11+ 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-145597,21371362] |
[a1,a2,a3,a4,a6] |
Generators |
[183:838:1] |
Generators of the group modulo torsion |
j |
-418441123633/2057 |
j-invariant |
L |
5.0635858593786 |
L(r)(E,1)/r! |
Ω |
0.74415706347931 |
Real period |
R |
1.1340764174398 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31603i1 |
Quadratic twists by: 13 |