Atkin-Lehner |
2- 3- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
31434u |
Isogeny class |
Conductor |
31434 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
-451536320379456 = -1 · 26 · 32 · 138 · 312 |
Discriminant |
Eigenvalues |
2- 3- -3 4 -2 13+ -1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,19178,-14236] |
[a1,a2,a3,a4,a6] |
Generators |
[14:500:1] |
Generators of the group modulo torsion |
j |
956280767/553536 |
j-invariant |
L |
9.7271161593085 |
L(r)(E,1)/r! |
Ω |
0.31445685121096 |
Real period |
R |
0.42962598851223 |
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 |
94302q1 31434k1 |
Quadratic twists by: -3 13 |