Atkin-Lehner |
2- 3+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
64728i |
Isogeny class |
Conductor |
64728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
-1123421239296 = -1 · 211 · 39 · 29 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 1 3 -2 0 5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2187,64422] |
[a1,a2,a3,a4,a6] |
Generators |
[42:216:1] |
Generators of the group modulo torsion |
j |
-28697814/27869 |
j-invariant |
L |
7.8323993899712 |
L(r)(E,1)/r! |
Ω |
0.79272623972257 |
Real period |
R |
2.4700833017979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992699 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129456d1 64728a1 |
Quadratic twists by: -4 -3 |