Atkin-Lehner |
2- 3+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
13950by |
Isogeny class |
Conductor |
13950 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
-312408576000000 = -1 · 215 · 39 · 56 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 3 -5 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,10420,-747953] |
[a1,a2,a3,a4,a6] |
Generators |
[85:821:1] |
Generators of the group modulo torsion |
j |
406869021/1015808 |
j-invariant |
L |
8.0693584885418 |
L(r)(E,1)/r! |
Ω |
0.28086449342628 |
Real period |
R |
0.9576810973984 |
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 |
111600cm2 13950i1 558b2 |
Quadratic twists by: -4 -3 5 |