Atkin-Lehner |
2- 3+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
33708a |
Isogeny class |
Conductor |
33708 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1116180 |
Modular degree for the optimal curve |
Δ |
-1.5881929023314E+21 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 4 -2 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-992513,-1954462770] |
[a1,a2,a3,a4,a6] |
Generators |
[22967333022574702852409690318206563840196386:-2945195654291331091147521352147718807501004856:1390925699640199893507087652947038582217] |
Generators of the group modulo torsion |
j |
-108544000/1594323 |
j-invariant |
L |
4.49528746154 |
L(r)(E,1)/r! |
Ω |
0.06435738117629 |
Real period |
R |
69.848825097875 |
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 |
101124n1 33708c1 |
Quadratic twists by: -3 53 |