Atkin-Lehner |
2- 3- 5+ 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010dg |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-255130195461120 = -1 · 210 · 36 · 5 · 77 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 0 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,14209,-405735] |
[a1,a2,a3,a4,a6] |
Generators |
[46:-611:1] |
Generators of the group modulo torsion |
j |
2696647030559/2168570880 |
j-invariant |
L |
10.659921890436 |
L(r)(E,1)/r! |
Ω |
0.30710718912061 |
Real period |
R |
0.14462813780284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000076947 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17430y1 |
Quadratic twists by: -7 |