Atkin-Lehner |
5- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
4495d |
Isogeny class |
Conductor |
4495 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
8000 |
Modular degree for the optimal curve |
Δ |
-8779296875 = -1 · 510 · 29 · 31 |
Discriminant |
Eigenvalues |
-2 -1 5- 3 -3 4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-12220,524056] |
[a1,a2,a3,a4,a6] |
Generators |
[205:2567:1] |
Generators of the group modulo torsion |
j |
-201824027741310976/8779296875 |
j-invariant |
L |
1.8288111768799 |
L(r)(E,1)/r! |
Ω |
1.2249867717566 |
Real period |
R |
3.7323080114929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
71920q1 40455k1 22475c1 |
Quadratic twists by: -4 -3 5 |