Atkin-Lehner |
2- 3- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010cw |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
-2390849395200 = -1 · 29 · 38 · 52 · 73 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -5 -4 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6336,207360] |
[a1,a2,a3,a4,a6] |
Generators |
[18:306:1] [48:96:1] |
Generators of the group modulo torsion |
j |
-82012373675623/6970406400 |
j-invariant |
L |
18.985999366682 |
L(r)(E,1)/r! |
Ω |
0.79948780548983 |
Real period |
R |
0.082457303881587 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999977536 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122010cl1 |
Quadratic twists by: -7 |