Atkin-Lehner |
2+ 3- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
64032v |
Isogeny class |
Conductor |
64032 |
Conductor |
∏ cp |
124 |
Product of Tamagawa factors cp |
deg |
3452160 |
Modular degree for the optimal curve |
Δ |
-4.8515725170647E+21 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 0 -2 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4845144,-5300778312] |
[a1,a2,a3,a4,a6] |
Generators |
[496830:-24446286:125] |
Generators of the group modulo torsion |
j |
-24568232187014512221896/9475727572392030927 |
j-invariant |
L |
9.0191295651511 |
L(r)(E,1)/r! |
Ω |
0.049924402563826 |
Real period |
R |
1.456901076627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000384 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64032m1 128064bx1 |
Quadratic twists by: -4 8 |