Atkin-Lehner |
2- 3- 23- 89- |
Signs for the Atkin-Lehner involutions |
Class |
98256t |
Isogeny class |
Conductor |
98256 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
118656 |
Modular degree for the optimal curve |
Δ |
-2334857328 = -1 · 24 · 32 · 23 · 893 |
Discriminant |
Eigenvalues |
2- 3- -4 -3 6 -2 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-530,-5421] |
[a1,a2,a3,a4,a6] |
Generators |
[218:267:8] |
Generators of the group modulo torsion |
j |
-1030980626176/145928583 |
j-invariant |
L |
4.6294545935753 |
L(r)(E,1)/r! |
Ω |
0.4935555554561 |
Real period |
R |
1.563300752075 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999295024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24564a1 |
Quadratic twists by: -4 |