Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31850bu |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-611551502198000000 = -1 · 27 · 56 · 77 · 135 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- -5 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-27180,-37657553] |
[a1,a2,a3,a4,a6] |
Generators |
[9903:29335:27] |
Generators of the group modulo torsion |
j |
-1207949625/332678528 |
j-invariant |
L |
14.005419356686 |
L(r)(E,1)/r! |
Ω |
0.12938009419407 |
Real period |
R |
3.8660780977849 |
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 |
1274g1 4550t1 |
Quadratic twists by: 5 -7 |