Atkin-Lehner |
2+ 3+ 5- 79- |
Signs for the Atkin-Lehner involutions |
Class |
35550g |
Isogeny class |
Conductor |
35550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
17064000000000 = 212 · 33 · 59 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 4 2 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-647167992,-6336691579584] |
[a1,a2,a3,a4,a6] |
Generators |
[14048826720007506672853214265924104751391570465791010:4604358404938009008724490018207860441433761660334474273:123330834618200943770798682890563228498434739000] |
Generators of the group modulo torsion |
j |
568435245123699267862527/323584 |
j-invariant |
L |
5.0317949369765 |
L(r)(E,1)/r! |
Ω |
0.029932658940543 |
Real period |
R |
84.051920462049 |
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 |
35550bh2 35550bi2 |
Quadratic twists by: -3 5 |