Atkin-Lehner |
3- 5+ 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
101175m |
Isogeny class |
Conductor |
101175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14112 |
Modular degree for the optimal curve |
Δ |
-1922325 = -1 · 3 · 52 · 192 · 71 |
Discriminant |
Eigenvalues |
1 3- 5+ 3 4 -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1,-67] |
[a1,a2,a3,a4,a6] |
Generators |
[2979:-467:729] |
Generators of the group modulo torsion |
j |
-625/76893 |
j-invariant |
L |
11.747320580807 |
L(r)(E,1)/r! |
Ω |
1.2020554747744 |
Real period |
R |
4.8863471081616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955562 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101175g1 |
Quadratic twists by: 5 |