Atkin-Lehner |
2+ 3- 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
118296g |
Isogeny class |
Conductor |
118296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
-2759609088 = -1 · 28 · 38 · 31 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -4 1 -4 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,348,-380] |
[a1,a2,a3,a4,a6] |
Generators |
[2:18:1] [8:54:1] |
Generators of the group modulo torsion |
j |
24974336/14787 |
j-invariant |
L |
9.0303581262371 |
L(r)(E,1)/r! |
Ω |
0.84009809872024 |
Real period |
R |
0.6718231879355 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000515 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39432e1 |
Quadratic twists by: -3 |