Atkin-Lehner |
3- 13- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
64467s |
Isogeny class |
Conductor |
64467 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-330030500120451 = -1 · 315 · 133 · 192 · 29 |
Discriminant |
Eigenvalues |
2 3- 1 -4 2 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-55227,-5071347] |
[a1,a2,a3,a4,a6] |
j |
-25553508728541184/452716735419 |
j-invariant |
L |
3.7332440486334 |
L(r)(E,1)/r! |
Ω |
0.15555183504349 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21489g1 |
Quadratic twists by: -3 |