Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462g |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
20637700104086208 = 26 · 33 · 114 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 11+ 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-156441,22830445] |
[a1,a2,a3,a4,a6] |
Generators |
[98:2855:1] |
Generators of the group modulo torsion |
j |
3249025693731/158357056 |
j-invariant |
L |
5.2823600993466 |
L(r)(E,1)/r! |
Ω |
0.37906030699747 |
Real period |
R |
1.741926021346 |
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 |
33462cb2 2574s2 |
Quadratic twists by: -3 13 |