Atkin-Lehner |
3- 5- 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
122265y |
Isogeny class |
Conductor |
122265 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3110400 |
Modular degree for the optimal curve |
Δ |
-3479620574659246875 = -1 · 315 · 55 · 11 · 135 · 19 |
Discriminant |
Eigenvalues |
0 3- 5- 2 11- 13+ 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3120582,2123682912] |
[a1,a2,a3,a4,a6] |
j |
-4610021820955121188864/4773142077721875 |
j-invariant |
L |
2.4913249255776 |
L(r)(E,1)/r! |
Ω |
0.2491326061611 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40755l1 |
Quadratic twists by: -3 |