Atkin-Lehner |
2- 3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
64350dc |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
deg |
4521984 |
Modular degree for the optimal curve |
Δ |
-4815357902784000000 = -1 · 212 · 33 · 56 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 13- 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23425580,-43634159953] |
[a1,a2,a3,a4,a6] |
j |
-3369853043629824680811/11414181695488 |
j-invariant |
L |
6.587916911095 |
L(r)(E,1)/r! |
Ω |
0.034312067222185 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64350g1 2574b1 |
Quadratic twists by: -3 5 |