Atkin-Lehner |
2+ 11- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
98384g |
Isogeny class |
Conductor |
98384 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
154758032 = 24 · 113 · 132 · 43 |
Discriminant |
Eigenvalues |
2+ 0 -2 -1 11- 13- -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-191,821] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:39:1] [4:11:1] |
Generators of the group modulo torsion |
j |
48161924352/9672377 |
j-invariant |
L |
9.5830739036321 |
L(r)(E,1)/r! |
Ω |
1.7285378019359 |
Real period |
R |
0.92400581703256 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999325 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49192a1 |
Quadratic twists by: -4 |