Atkin-Lehner |
3+ 5- 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
40755i |
Isogeny class |
Conductor |
40755 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1839069375 = 3 · 54 · 11 · 13 · 193 |
Discriminant |
Eigenvalues |
1 3+ 5- -4 11- 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-15693392,23922396069] |
[a1,a2,a3,a4,a6] |
Generators |
[285844550:-142854839:125000] |
Generators of the group modulo torsion |
j |
427439077918145669785549321/1839069375 |
j-invariant |
L |
4.1559084739199 |
L(r)(E,1)/r! |
Ω |
0.48273953459497 |
Real period |
R |
8.6090079143961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122265f4 |
Quadratic twists by: -3 |