Atkin-Lehner |
3+ 5- 7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
109725bc |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
197120 |
Modular degree for the optimal curve |
Δ |
-1930428682875 = -1 · 34 · 53 · 7 · 11 · 195 |
Discriminant |
Eigenvalues |
0 3+ 5- 7+ 11+ -5 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,307,66713] |
[a1,a2,a3,a4,a6] |
Generators |
[47:427:1] |
Generators of the group modulo torsion |
j |
25516048384/15443429463 |
j-invariant |
L |
2.1594852223794 |
L(r)(E,1)/r! |
Ω |
0.6477087882286 |
Real period |
R |
0.16670186193225 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012168 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109725ci1 |
Quadratic twists by: 5 |