Atkin-Lehner |
2+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
64064t |
Isogeny class |
Conductor |
64064 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
5640192 |
Modular degree for the optimal curve |
Δ |
-54011907783049216 = -1 · 214 · 7 · 118 · 133 |
Discriminant |
Eigenvalues |
2+ 2 1 7- 11- 13- -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-146453125,-682126622307] |
[a1,a2,a3,a4,a6] |
j |
-21203116761178214318777344/3296625230899 |
j-invariant |
L |
4.6870398769259 |
L(r)(E,1)/r! |
Ω |
0.021699258723344 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64064ba1 8008a1 |
Quadratic twists by: -4 8 |