Atkin-Lehner |
2+ 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
31654a |
Isogeny class |
Conductor |
31654 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-182836520752816 = -1 · 24 · 78 · 172 · 193 |
Discriminant |
Eigenvalues |
2+ 0 1 7+ -5 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-111239,-14267219] |
[a1,a2,a3,a4,a6] |
Generators |
[405:2441:1] |
Generators of the group modulo torsion |
j |
-26406620024841/31716016 |
j-invariant |
L |
3.3419915440569 |
L(r)(E,1)/r! |
Ω |
0.13069947222173 |
Real period |
R |
6.3925115519735 |
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 |
31654j1 |
Quadratic twists by: -7 |