Atkin-Lehner |
2+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
79376a |
Isogeny class |
Conductor |
79376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-572777216 = -1 · 28 · 113 · 412 |
Discriminant |
Eigenvalues |
2+ 1 1 2 11+ -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-425,-3709] |
[a1,a2,a3,a4,a6] |
Generators |
[858:3403:27] |
Generators of the group modulo torsion |
j |
-24974336/1681 |
j-invariant |
L |
8.6462752892096 |
L(r)(E,1)/r! |
Ω |
0.52360473364653 |
Real period |
R |
4.1282453784717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002222 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39688d1 79376c1 |
Quadratic twists by: -4 -11 |