Atkin-Lehner |
2- 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
33708d |
Isogeny class |
Conductor |
33708 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
42120 |
Modular degree for the optimal curve |
Δ |
2157312 = 28 · 3 · 532 |
Discriminant |
Eigenvalues |
2- 3- 0 4 -1 3 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32948,2290980] |
[a1,a2,a3,a4,a6] |
Generators |
[2820:10:27] |
Generators of the group modulo torsion |
j |
5500882402000/3 |
j-invariant |
L |
8.0945343916315 |
L(r)(E,1)/r! |
Ω |
1.5925194976316 |
Real period |
R |
1.6942826348793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101124k1 33708b1 |
Quadratic twists by: -3 53 |