Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
107100bs |
Isogeny class |
Conductor |
107100 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
1769472 |
Modular degree for the optimal curve |
Δ |
870685845671250000 = 24 · 310 · 57 · 74 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1809300,935652625] |
[a1,a2,a3,a4,a6] |
Generators |
[566:9639:1] |
Generators of the group modulo torsion |
j |
3594081530527744/4777425765 |
j-invariant |
L |
7.5961436489591 |
L(r)(E,1)/r! |
Ω |
0.28033126076923 |
Real period |
R |
0.37634759184617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020353 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35700bf1 21420t1 |
Quadratic twists by: -3 5 |