Atkin-Lehner |
2- 5- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
100300l |
Isogeny class |
Conductor |
100300 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
70560 |
Modular degree for the optimal curve |
Δ |
160480000 = 28 · 54 · 17 · 59 |
Discriminant |
Eigenvalues |
2- -3 5- -4 2 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-175,-650] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:-10:1] [-9:14:1] |
Generators of the group modulo torsion |
j |
3704400/1003 |
j-invariant |
L |
5.7782674218319 |
L(r)(E,1)/r! |
Ω |
1.3392501303761 |
Real period |
R |
0.47939492321998 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100300k1 |
Quadratic twists by: 5 |