Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
33462bx |
Isogeny class |
Conductor |
33462 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
18734436864 = 29 · 39 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 11- 13+ -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14852,700327] |
[a1,a2,a3,a4,a6] |
Generators |
[85:173:1] |
Generators of the group modulo torsion |
j |
108911345283/5632 |
j-invariant |
L |
10.03368971074 |
L(r)(E,1)/r! |
Ω |
1.1547963681633 |
Real period |
R |
0.48270606101648 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33462c1 33462d1 |
Quadratic twists by: -3 13 |