Atkin-Lehner |
3- 7- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34713h |
Isogeny class |
Conductor |
34713 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1018550220690653217 = -1 · 37 · 72 · 19 · 298 |
Discriminant |
Eigenvalues |
1 3- 2 7- 4 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1449,48556354] |
[a1,a2,a3,a4,a6] |
Generators |
[-348810:2523983:1000] |
Generators of the group modulo torsion |
j |
461352349583/1397188231400073 |
j-invariant |
L |
8.8647352338738 |
L(r)(E,1)/r! |
Ω |
0.21998813809716 |
Real period |
R |
10.074105938793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11571e4 |
Quadratic twists by: -3 |