Atkin-Lehner |
2+ 3- 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
122010bh |
Isogeny class |
Conductor |
122010 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
314975549952000 = 212 · 32 · 53 · 77 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-668288,210220238] |
[a1,a2,a3,a4,a6] |
Generators |
[474:-170:1] |
Generators of the group modulo torsion |
j |
280559853721721449/2677248000 |
j-invariant |
L |
7.3300570961975 |
L(r)(E,1)/r! |
Ω |
0.49078042418592 |
Real period |
R |
2.4892520906976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998831225 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17430a1 |
Quadratic twists by: -7 |