Atkin-Lehner |
3+ 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
120159b |
Isogeny class |
Conductor |
120159 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
677376 |
Modular degree for the optimal curve |
Δ |
-7708128414152751 = -1 · 39 · 137 · 792 |
Discriminant |
Eigenvalues |
1 3+ -2 2 -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-118923,-16310800] |
[a1,a2,a3,a4,a6] |
Generators |
[2239328:-181789236:343] |
Generators of the group modulo torsion |
j |
-1957816251/81133 |
j-invariant |
L |
6.5173001428178 |
L(r)(E,1)/r! |
Ω |
0.12823315819895 |
Real period |
R |
12.705957337404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999901064 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120159d1 9243b1 |
Quadratic twists by: -3 13 |