Atkin-Lehner |
2- 7- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
9842j |
Isogeny class |
Conductor |
9842 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
3456825344 = 211 · 74 · 19 · 37 |
Discriminant |
Eigenvalues |
2- -2 -3 7- -5 -2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-882,9604] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:126:1] [-26:136:1] |
Generators of the group modulo torsion |
j |
75885751966753/3456825344 |
j-invariant |
L |
5.5825114140507 |
L(r)(E,1)/r! |
Ω |
1.3928580307018 |
Real period |
R |
0.09108987176984 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78736r1 88578n1 68894bb1 |
Quadratic twists by: -4 -3 -7 |