Atkin-Lehner |
2- 3+ 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
33390bc |
Isogeny class |
Conductor |
33390 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-2573378519040 = -1 · 220 · 33 · 5 · 73 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -1 -1 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3418,5429] |
[a1,a2,a3,a4,a6] |
Generators |
[9:187:1] |
Generators of the group modulo torsion |
j |
163604497150557/95310315520 |
j-invariant |
L |
8.8114101721459 |
L(r)(E,1)/r! |
Ω |
0.48994745052676 |
Real period |
R |
0.44960996136791 |
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 |
33390b1 |
Quadratic twists by: -3 |