Atkin-Lehner |
2+ 3+ 5- 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
122670f |
Isogeny class |
Conductor |
122670 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
8704000 |
Modular degree for the optimal curve |
Δ |
5.7296420654285E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7851189,8461550773] |
[a1,a2,a3,a4,a6] |
j |
1982285825742719769772683/2122089653862400000 |
j-invariant |
L |
1.97336564806 |
L(r)(E,1)/r! |
Ω |
0.1973367008978 |
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 |
122670bg1 |
Quadratic twists by: -3 |