Atkin-Lehner |
2+ 3- 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
105336u |
Isogeny class |
Conductor |
105336 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
838656 |
Modular degree for the optimal curve |
Δ |
52671234988221696 = 28 · 319 · 7 · 113 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 11+ 4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-376788,88333796] |
[a1,a2,a3,a4,a6] |
Generators |
[-422:13122:1] |
Generators of the group modulo torsion |
j |
31699134683339776/282231840429 |
j-invariant |
L |
7.030724475557 |
L(r)(E,1)/r! |
Ω |
0.3566357687624 |
Real period |
R |
1.2321262160876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999871557 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35112q1 |
Quadratic twists by: -3 |