Atkin-Lehner |
2+ 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
101150i |
Isogeny class |
Conductor |
101150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-50266487442500000 = -1 · 25 · 57 · 72 · 177 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7+ -2 1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,88958,-3495884] |
[a1,a2,a3,a4,a6] |
Generators |
[829:24873:1] |
Generators of the group modulo torsion |
j |
206425071/133280 |
j-invariant |
L |
2.4314018069845 |
L(r)(E,1)/r! |
Ω |
0.20382186235097 |
Real period |
R |
0.37278290106692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000173754 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20230s1 5950d1 |
Quadratic twists by: 5 17 |