Atkin-Lehner |
2+ 11- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
120802d |
Isogeny class |
Conductor |
120802 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
71696014301252 = 22 · 112 · 177 · 192 |
Discriminant |
Eigenvalues |
2+ -2 0 -2 11- -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-16046,-669204] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:319:1] |
Generators of the group modulo torsion |
j |
18927429625/2970308 |
j-invariant |
L |
2.3543786693935 |
L(r)(E,1)/r! |
Ω |
0.42867744380242 |
Real period |
R |
0.68652395871074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999301708 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7106a1 |
Quadratic twists by: 17 |