Atkin-Lehner |
2+ 3- 11+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
34782f |
Isogeny class |
Conductor |
34782 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1115136 |
Modular degree for the optimal curve |
Δ |
6.33556744721E+19 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 11+ 6 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-997453,-19113706] |
[a1,a2,a3,a4,a6] |
Generators |
[-116:9806:1] |
Generators of the group modulo torsion |
j |
109748958833818684476361/63355674472099879914 |
j-invariant |
L |
5.9675897827672 |
L(r)(E,1)/r! |
Ω |
0.16488033094968 |
Real period |
R |
6.0322434543846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104346ce1 |
Quadratic twists by: -3 |