Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462cd |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
-5651721779067936 = -1 · 25 · 39 · 11 · 138 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 11- 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35224364,-80457274673] |
[a1,a2,a3,a4,a6] |
Generators |
[9577:673829:1] |
Generators of the group modulo torsion |
j |
-301033668253851/352 |
j-invariant |
L |
6.5006989911725 |
L(r)(E,1)/r! |
Ω |
0.030985518641846 |
Real period |
R |
6.9932657534981 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33462i1 33462h2 |
Quadratic twists by: -3 13 |