Atkin-Lehner |
2- 3+ 5- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010cc |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-357423426801000 = -1 · 23 · 32 · 53 · 78 · 832 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 1 -3 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12055,1037525] |
[a1,a2,a3,a4,a6] |
Generators |
[-127:798:1] [-67:1278:1] |
Generators of the group modulo torsion |
j |
-33608047921/62001000 |
j-invariant |
L |
16.078408675525 |
L(r)(E,1)/r! |
Ω |
0.48030182187238 |
Real period |
R |
0.30995958724273 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999962062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122010cq1 |
Quadratic twists by: -7 |