Atkin-Lehner |
2- 3- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010dc |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
140 |
Product of Tamagawa factors cp |
deg |
913920 |
Modular degree for the optimal curve |
Δ |
-258327007777440 = -1 · 25 · 314 · 5 · 72 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 -1 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-184591,-30550759] |
[a1,a2,a3,a4,a6] |
Generators |
[698:13097:1] |
Generators of the group modulo torsion |
j |
-14195782830130808641/5271979750560 |
j-invariant |
L |
10.839475636442 |
L(r)(E,1)/r! |
Ω |
0.11516148095597 |
Real period |
R |
0.67231529829128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000071555 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122010cb1 |
Quadratic twists by: -7 |