Atkin-Lehner |
2+ 3+ 7- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
101178g |
Isogeny class |
Conductor |
101178 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-1743700235508 = -1 · 22 · 33 · 73 · 112 · 733 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 11+ -1 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2163,49833] |
[a1,a2,a3,a4,a6] |
Generators |
[42:441:1] |
Generators of the group modulo torsion |
j |
41439695995125/64581490204 |
j-invariant |
L |
4.7319897311155 |
L(r)(E,1)/r! |
Ω |
0.57079879402827 |
Real period |
R |
1.0362648328572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999915582 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
101178bh2 |
Quadratic twists by: -3 |