Atkin-Lehner |
5- 29- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
31175d |
Isogeny class |
Conductor |
31175 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
117600 |
Modular degree for the optimal curve |
Δ |
-1722616029296875 = -1 · 59 · 295 · 43 |
Discriminant |
Eigenvalues |
1 -2 5- 1 -2 4 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,19924,1679673] |
[a1,a2,a3,a4,a6] |
Generators |
[51:1656:1] |
Generators of the group modulo torsion |
j |
447872715451/881979407 |
j-invariant |
L |
4.3294877891093 |
L(r)(E,1)/r! |
Ω |
0.32573799234164 |
Real period |
R |
1.3291319682993 |
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 |
31175e1 |
Quadratic twists by: 5 |