Atkin-Lehner |
2- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
10720a |
Isogeny class |
Conductor |
10720 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-171520 = -1 · 29 · 5 · 67 |
Discriminant |
Eigenvalues |
2- -2 5- -3 -5 4 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,0,-20] |
[a1,a2,a3,a4,a6] |
Generators |
[3:4:1] |
Generators of the group modulo torsion |
j |
-8/335 |
j-invariant |
L |
2.4427293224797 |
L(r)(E,1)/r! |
Ω |
1.4681556030241 |
Real period |
R |
1.6638081940689 |
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 |
10720b1 21440v1 96480g1 53600g1 |
Quadratic twists by: -4 8 -3 5 |