Atkin-Lehner |
2+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
101150a |
Isogeny class |
Conductor |
101150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
47184452000000 = 28 · 56 · 74 · 173 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18992,956416] |
[a1,a2,a3,a4,a6] |
Generators |
[48:368:1] |
Generators of the group modulo torsion |
j |
9869198625/614656 |
j-invariant |
L |
3.1252682998042 |
L(r)(E,1)/r! |
Ω |
0.62610118501689 |
Real period |
R |
1.2479086350096 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971677 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4046o1 101150p1 |
Quadratic twists by: 5 17 |