Atkin-Lehner |
2- 3+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
64386z |
Isogeny class |
Conductor |
64386 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
232960 |
Modular degree for the optimal curve |
Δ |
-81445846422528 = -1 · 210 · 33 · 79 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -6 1 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-965,-434115] |
[a1,a2,a3,a4,a6] |
Generators |
[135:-1440:1] |
Generators of the group modulo torsion |
j |
-91125/74752 |
j-invariant |
L |
9.4309424303155 |
L(r)(E,1)/r! |
Ω |
0.27427886070872 |
Real period |
R |
0.85961258602974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000457 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64386d1 64386bd1 |
Quadratic twists by: -3 -7 |