Atkin-Lehner |
3- 7- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
34713h |
Isogeny class |
Conductor |
34713 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.6490066673534E+19 |
Discriminant |
Eigenvalues |
1 3- 2 7- 4 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1969506,1082142859] |
[a1,a2,a3,a4,a6] |
Generators |
[-170856488478:-3774512554831:120553784] |
Generators of the group modulo torsion |
j |
-1158959427165900603937/22620118893736203 |
j-invariant |
L |
8.8647352338738 |
L(r)(E,1)/r! |
Ω |
0.21998813809716 |
Real period |
R |
20.148211877584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11571e6 |
Quadratic twists by: -3 |