Atkin-Lehner |
2+ 3- 23+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
98256g |
Isogeny class |
Conductor |
98256 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
298861737984 = 211 · 32 · 23 · 893 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 6 5 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5240,141876] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:534:1] |
Generators of the group modulo torsion |
j |
7770885300722/145928583 |
j-invariant |
L |
9.955373587846 |
L(r)(E,1)/r! |
Ω |
0.97174037640699 |
Real period |
R |
0.853740861033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999951 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49128c1 |
Quadratic twists by: -4 |