Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160bz |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
-1020600000 = -1 · 26 · 36 · 55 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -3 7 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,78,1514] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:25:1] |
Generators of the group modulo torsion |
j |
1124864/21875 |
j-invariant |
L |
5.6182103747586 |
L(r)(E,1)/r! |
Ω |
1.1640209164732 |
Real period |
R |
0.96531089695205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20160ck1 10080l1 2240a1 100800fh1 |
Quadratic twists by: -4 8 -3 5 |