Atkin-Lehner |
3- 5- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
98325by |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
358394625 = 38 · 53 · 19 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -2 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-365,2612] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:70:1] |
Generators of the group modulo torsion |
j |
58863869/3933 |
j-invariant |
L |
4.1349077226219 |
L(r)(E,1)/r! |
Ω |
1.6695145803811 |
Real period |
R |
1.2383562826017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999603423 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32775bj1 98325ce1 |
Quadratic twists by: -3 5 |