Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462cc |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
Δ |
-145079479074816 = -1 · 215 · 39 · 113 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 11- 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22574,1433917] |
[a1,a2,a3,a4,a6] |
Generators |
[1:-1189:1] |
Generators of the group modulo torsion |
j |
-382431133539/43614208 |
j-invariant |
L |
7.3392228991061 |
L(r)(E,1)/r! |
Ω |
0.56409404471276 |
Real period |
R |
0.14456263430808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33462h1 33462i2 |
Quadratic twists by: -3 13 |