Atkin-Lehner |
2- 3- 5+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
77520co |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-184110000 = -1 · 24 · 3 · 54 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 -2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-141,-966] |
[a1,a2,a3,a4,a6] |
Generators |
[459054896:-1035901425:28094464] |
Generators of the group modulo torsion |
j |
-19513606144/11506875 |
j-invariant |
L |
8.7682147536514 |
L(r)(E,1)/r! |
Ω |
0.67408116085758 |
Real period |
R |
13.007654364106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998413 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19380f1 |
Quadratic twists by: -4 |