Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462cc |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-1606176 = -1 · 25 · 33 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -3 1 11- 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23159,1362287] |
[a1,a2,a3,a4,a6] |
Generators |
[87:-26:1] |
Generators of the group modulo torsion |
j |
-301033668253851/352 |
j-invariant |
L |
7.3392228991061 |
L(r)(E,1)/r! |
Ω |
1.6922821341383 |
Real period |
R |
0.43368790292425 |
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 |
33462h2 33462i1 |
Quadratic twists by: -3 13 |