Atkin-Lehner |
2- 3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350ew |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1152000 |
Modular degree for the optimal curve |
Δ |
-3687134594155155000 = -1 · 23 · 37 · 54 · 1110 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ 13+ -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-580505,193835697] |
[a1,a2,a3,a4,a6] |
j |
-47482476212808025/8092476475512 |
j-invariant |
L |
2.8774981346269 |
L(r)(E,1)/r! |
Ω |
0.23979151167507 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21450q1 64350bf2 |
Quadratic twists by: -3 5 |