Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790bj |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8294400 |
Modular degree for the optimal curve |
Δ |
-1.7531401800505E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11409120,14971933696] |
[a1,a2,a3,a4,a6] |
Generators |
[-2973:151843:1] |
Generators of the group modulo torsion |
j |
-1914980734749238129/20440940544000 |
j-invariant |
L |
3.0812842945231 |
L(r)(E,1)/r! |
Ω |
0.14967419633156 |
Real period |
R |
5.1466524759202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006485 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27930cr1 1710j1 |
Quadratic twists by: -3 -7 |