Atkin-Lehner |
2- 11+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
98384k |
Isogeny class |
Conductor |
98384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-205982940592 = -1 · 24 · 116 · 132 · 43 |
Discriminant |
Eigenvalues |
2- 2 0 -2 11+ 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5753,-167464] |
[a1,a2,a3,a4,a6] |
Generators |
[9281131428298703964716:53671772662081482574314:88660871057930653763] |
Generators of the group modulo torsion |
j |
-1316322605056000/12873933787 |
j-invariant |
L |
8.7719281528136 |
L(r)(E,1)/r! |
Ω |
0.27392797572376 |
Real period |
R |
32.022753787828 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034899 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24596h1 |
Quadratic twists by: -4 |