Atkin-Lehner |
2+ 3+ 5- 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
106050i |
Isogeny class |
Conductor |
106050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
801738000 = 24 · 34 · 53 · 72 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-455,-3675] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:15:1] [-14:21:1] |
Generators of the group modulo torsion |
j |
83625443117/6413904 |
j-invariant |
L |
6.7695175435778 |
L(r)(E,1)/r! |
Ω |
1.0384267192553 |
Real period |
R |
1.6297533130305 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991056 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106050cm1 |
Quadratic twists by: 5 |