Atkin-Lehner |
2+ 3- 5+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
8520i |
Isogeny class |
Conductor |
8520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
-4089600 = -1 · 28 · 32 · 52 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4,-96] |
[a1,a2,a3,a4,a6] |
Generators |
[7:18:1] |
Generators of the group modulo torsion |
j |
21296/15975 |
j-invariant |
L |
4.1687499993627 |
L(r)(E,1)/r! |
Ω |
1.1525712472251 |
Real period |
R |
1.8084565311686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17040a1 68160s1 25560j1 42600t1 |
Quadratic twists by: -4 8 -3 5 |