Atkin-Lehner |
2+ 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790p |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
6389760 |
Modular degree for the optimal curve |
Δ |
6.0779576525901E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 2 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19705359,33463903213] |
[a1,a2,a3,a4,a6] |
j |
266394205833287968827/1913399541760000 |
j-invariant |
L |
2.1611137565058 |
L(r)(E,1)/r! |
Ω |
0.13506961189714 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83790cw1 11970b1 |
Quadratic twists by: -3 -7 |