Atkin-Lehner |
2- 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790cs |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1.2542302532813E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-557948,-562055553] |
[a1,a2,a3,a4,a6] |
Generators |
[1745:60573:1] |
Generators of the group modulo torsion |
j |
-6047169663613203/39484375000000 |
j-invariant |
L |
10.698509947533 |
L(r)(E,1)/r! |
Ω |
0.077790173611582 |
Real period |
R |
2.8652156634618 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000521 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83790m4 11970bn2 |
Quadratic twists by: -3 -7 |