Atkin-Lehner |
3+ 5+ 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
109725f |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
90112 |
Modular degree for the optimal curve |
Δ |
-149980359375 = -1 · 38 · 56 · 7 · 11 · 19 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7+ 11+ 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,87,-18594] |
[a1,a2,a3,a4,a6] |
Generators |
[50:312:1] [194:2613:1] |
Generators of the group modulo torsion |
j |
4657463/9598743 |
j-invariant |
L |
6.2272619014153 |
L(r)(E,1)/r! |
Ω |
0.47767056576388 |
Real period |
R |
13.036729388623 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999978181 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4389i1 |
Quadratic twists by: 5 |