Atkin-Lehner |
2- 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
122010dl |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-32555675983320 = -1 · 23 · 35 · 5 · 79 · 83 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 1 1 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10585,500177] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-457:1] |
Generators of the group modulo torsion |
j |
-1114835073409/276718680 |
j-invariant |
L |
15.777757850855 |
L(r)(E,1)/r! |
Ω |
0.62572890078438 |
Real period |
R |
0.84050019414657 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999829402 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17430s1 |
Quadratic twists by: -7 |