Atkin-Lehner |
2+ 3+ 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010g |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
3022505902080 = 218 · 34 · 5 · 73 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3707,21981] |
[a1,a2,a3,a4,a6] |
j |
16431620361967/8811970560 |
j-invariant |
L |
1.4005304596132 |
L(r)(E,1)/r! |
Ω |
0.70026435229065 |
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 |
122010p1 |
Quadratic twists by: -7 |