Atkin-Lehner |
2- 3- 5+ 23+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
76590bv |
Isogeny class |
Conductor |
76590 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
2257920 |
Modular degree for the optimal curve |
Δ |
-1.9019945852283E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 2 -2 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-650633,291421577] |
[a1,a2,a3,a4,a6] |
Generators |
[-857:15228:1] [1215:35356:1] |
Generators of the group modulo torsion |
j |
-41783404048199278921/26090460702720000 |
j-invariant |
L |
13.836749941259 |
L(r)(E,1)/r! |
Ω |
0.20096459786587 |
Real period |
R |
0.20491571069645 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25530w1 |
Quadratic twists by: -3 |