Atkin-Lehner |
2- 3- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
33768o |
Isogeny class |
Conductor |
33768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-804151152 = -1 · 24 · 37 · 73 · 67 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -5 -5 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2379,44683] |
[a1,a2,a3,a4,a6] |
Generators |
[29:9:1] |
Generators of the group modulo torsion |
j |
-127661377792/68943 |
j-invariant |
L |
5.5881330849015 |
L(r)(E,1)/r! |
Ω |
1.5701239277164 |
Real period |
R |
0.88975987599733 |
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 |
67536y1 11256a1 |
Quadratic twists by: -4 -3 |