Atkin-Lehner |
3+ 5+ 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
101175b |
Isogeny class |
Conductor |
101175 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
546816 |
Modular degree for the optimal curve |
Δ |
-212833816734375 = -1 · 312 · 56 · 192 · 71 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 4 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,7275,-657000] |
[a1,a2,a3,a4,a6] |
Generators |
[6260:60945:64] |
Generators of the group modulo torsion |
j |
2724641702063/13621364271 |
j-invariant |
L |
7.1063516533598 |
L(r)(E,1)/r! |
Ω |
0.28265613272994 |
Real period |
R |
6.2853329903793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999851369 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4047a1 |
Quadratic twists by: 5 |