Atkin-Lehner |
2+ 3- 5+ 19- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
100890g |
Isogeny class |
Conductor |
100890 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
326883600 = 24 · 36 · 52 · 19 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-270,-1404] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:18:1] |
Generators of the group modulo torsion |
j |
2992209121/448400 |
j-invariant |
L |
4.3614369524785 |
L(r)(E,1)/r! |
Ω |
1.189384777529 |
Real period |
R |
1.8334844299909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024633 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11210e1 |
Quadratic twists by: -3 |