Atkin-Lehner |
2+ 3- 17+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
64464b |
Isogeny class |
Conductor |
64464 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-4862839712688 = -1 · 24 · 33 · 172 · 794 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,521,106172] |
[a1,a2,a3,a4,a6] |
j |
975625299968/303927482043 |
j-invariant |
L |
1.7904757913032 |
L(r)(E,1)/r! |
Ω |
0.59682526443239 |
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 |
32232a1 |
Quadratic twists by: -4 |