Atkin-Lehner |
2- 3- 5- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
113520bs |
Isogeny class |
Conductor |
113520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
690994387353600 = 224 · 34 · 52 · 11 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 0 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-311427000,-2115455137452] |
[a1,a2,a3,a4,a6] |
Generators |
[5374248135863765934468:438299807017449008120250:227493767342932579] |
Generators of the group modulo torsion |
j |
815516123997553004685843001/168699801600 |
j-invariant |
L |
10.222480105715 |
L(r)(E,1)/r! |
Ω |
0.035938544887126 |
Real period |
R |
35.555418753082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002944 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14190e2 |
Quadratic twists by: -4 |