Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
96432w |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-183541823849889792 = -1 · 226 · 34 · 77 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-296368,65530816] |
[a1,a2,a3,a4,a6] |
Generators |
[250:2646:1] |
Generators of the group modulo torsion |
j |
-5974078398625/380878848 |
j-invariant |
L |
5.410567539812 |
L(r)(E,1)/r! |
Ω |
0.31492519233312 |
Real period |
R |
2.1475606216934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009503 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12054bg1 13776w1 |
Quadratic twists by: -4 -7 |