Atkin-Lehner |
2- 3- 5- 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
49770by |
Isogeny class |
Conductor |
49770 |
Conductor |
∏ cp |
196 |
Product of Tamagawa factors cp |
deg |
112896 |
Modular degree for the optimal curve |
Δ |
-12094110000000 = -1 · 27 · 37 · 57 · 7 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 -4 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5728,-13629] |
[a1,a2,a3,a4,a6] |
Generators |
[11:219:1] |
Generators of the group modulo torsion |
j |
28515191374151/16590000000 |
j-invariant |
L |
9.7496775711061 |
L(r)(E,1)/r! |
Ω |
0.42197712008982 |
Real period |
R |
0.11788139817439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16590c1 |
Quadratic twists by: -3 |