Atkin-Lehner |
2- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
129850bp |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
1.9806830959792E+26 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 3 1 -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-353116688,2462486063281] |
[a1,a2,a3,a4,a6] |
Generators |
[3179:1169763:1] |
Generators of the group modulo torsion |
j |
129797477812231048130521/5279621746883412800 |
j-invariant |
L |
17.563473394921 |
L(r)(E,1)/r! |
Ω |
0.056006337721377 |
Real period |
R |
2.9036848255442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041864 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25970l2 129850cu2 |
Quadratic twists by: 5 -7 |