Atkin-Lehner |
2- 3+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
64032x |
Isogeny class |
Conductor |
64032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1344000 |
Modular degree for the optimal curve |
Δ |
-6427174296711568896 = -1 · 29 · 37 · 234 · 295 |
Discriminant |
Eigenvalues |
2- 3+ -3 -3 2 -4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,445808,-41999816] |
[a1,a2,a3,a4,a6] |
Generators |
[93:506:1] |
Generators of the group modulo torsion |
j |
19137991166567247736/12553074798264783 |
j-invariant |
L |
2.2682890172191 |
L(r)(E,1)/r! |
Ω |
0.13564940894065 |
Real period |
R |
4.180425545454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990048 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64032ba1 128064dv1 |
Quadratic twists by: -4 8 |