Atkin-Lehner |
2- 3- 11+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
34782x |
Isogeny class |
Conductor |
34782 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1319768208 = 24 · 33 · 11 · 172 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11+ 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-25333,1549841] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:1601:1] |
Generators of the group modulo torsion |
j |
1797979157300796625/1319768208 |
j-invariant |
L |
9.9399249782998 |
L(r)(E,1)/r! |
Ω |
1.2667423505425 |
Real period |
R |
0.65390336177687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104346ba2 |
Quadratic twists by: -3 |