Atkin-Lehner |
3+ 5+ 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
36465b |
Isogeny class |
Conductor |
36465 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1361931285 = 3 · 5 · 11 · 134 · 172 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 11+ 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-254323,49260028] |
[a1,a2,a3,a4,a6] |
Generators |
[2334:-929:8] |
Generators of the group modulo torsion |
j |
1819211924208568296889/1361931285 |
j-invariant |
L |
4.4526646988325 |
L(r)(E,1)/r! |
Ω |
0.94470577188545 |
Real period |
R |
2.3566409941294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109395bf4 |
Quadratic twists by: -3 |