Atkin-Lehner |
2- 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010dm |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
165 |
Product of Tamagawa factors cp |
deg |
823680 |
Modular degree for the optimal curve |
Δ |
-597575728834560 = -1 · 211 · 315 · 5 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 0 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-49225,4360985] |
[a1,a2,a3,a4,a6] |
Generators |
[362:-6013:1] |
Generators of the group modulo torsion |
j |
-269206386074094049/12195423037440 |
j-invariant |
L |
16.036213977964 |
L(r)(E,1)/r! |
Ω |
0.51055228057683 |
Real period |
R |
0.19036086832746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017168 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122010bi1 |
Quadratic twists by: -7 |