Atkin-Lehner |
2+ 3- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
64728g |
Isogeny class |
Conductor |
64728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-221683172976 = -1 · 24 · 312 · 292 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 1 1 -2 0 -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1407,30427] |
[a1,a2,a3,a4,a6] |
Generators |
[47:261:1] |
Generators of the group modulo torsion |
j |
-26409397504/19005759 |
j-invariant |
L |
6.9567948712822 |
L(r)(E,1)/r! |
Ω |
0.91662617197683 |
Real period |
R |
0.94869575565808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000354 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129456p1 21576k1 |
Quadratic twists by: -4 -3 |