Atkin-Lehner |
3- 5- 11- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
40755x |
Isogeny class |
Conductor |
40755 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
279538545 = 3 · 5 · 11 · 13 · 194 |
Discriminant |
Eigenvalues |
1 3- 5- 0 11- 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11448,470473] |
[a1,a2,a3,a4,a6] |
Generators |
[4852:10307:64] |
Generators of the group modulo torsion |
j |
165904451805851641/279538545 |
j-invariant |
L |
9.2176788033629 |
L(r)(E,1)/r! |
Ω |
1.4839739266526 |
Real period |
R |
6.2114829902409 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122265h4 |
Quadratic twists by: -3 |