Atkin-Lehner |
2- 3+ 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
34440q |
Isogeny class |
Conductor |
34440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2.6053311834898E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-392182896,-2989248918660] |
[a1,a2,a3,a4,a6] |
Generators |
[-278883314:3638492:24389] |
Generators of the group modulo torsion |
j |
6514629237835659795297627076/254426873387673735 |
j-invariant |
L |
4.695002290457 |
L(r)(E,1)/r! |
Ω |
0.033925588757917 |
Real period |
R |
11.532598407157 |
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 |
68880q4 103320t4 |
Quadratic twists by: -4 -3 |