Atkin-Lehner |
2+ 3- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010q |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1336320 |
Modular degree for the optimal curve |
Δ |
-180155390625000 = -1 · 23 · 34 · 510 · 73 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 3 4 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-372489,87473236] |
[a1,a2,a3,a4,a6] |
Generators |
[488:4443:1] |
Generators of the group modulo torsion |
j |
-16663578523153907743/525234375000 |
j-invariant |
L |
6.5651250896557 |
L(r)(E,1)/r! |
Ω |
0.53125143980781 |
Real period |
R |
0.77236557328212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998839778 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122010l1 |
Quadratic twists by: -7 |