Atkin-Lehner |
2+ 3- 5- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010w |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
249984 |
Modular degree for the optimal curve |
Δ |
1550270284920 = 23 · 34 · 5 · 78 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -3 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4338,-92564] |
[a1,a2,a3,a4,a6] |
j |
1565539801/268920 |
j-invariant |
L |
2.3807359931447 |
L(r)(E,1)/r! |
Ω |
0.59518385251221 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122010b1 |
Quadratic twists by: -7 |