Atkin-Lehner |
3- 5+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
109725cb |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
16801640625 = 3 · 57 · 73 · 11 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-560063,161278992] |
[a1,a2,a3,a4,a6] |
Generators |
[441:105:1] |
Generators of the group modulo torsion |
j |
1243410074215301161/1075305 |
j-invariant |
L |
5.4545150069713 |
L(r)(E,1)/r! |
Ω |
0.77149738114566 |
Real period |
R |
2.3566789774596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053237 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21945k1 |
Quadratic twists by: 5 |