Atkin-Lehner |
2- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
51520bl |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-69271731200 = -1 · 210 · 52 · 76 · 23 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -2 1 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-721,-14455] |
[a1,a2,a3,a4,a6] |
Generators |
[56:343:1] [128:1405:1] |
Generators of the group modulo torsion |
j |
-40535147776/67648175 |
j-invariant |
L |
7.2381620357819 |
L(r)(E,1)/r! |
Ω |
0.43566081523597 |
Real period |
R |
4.1535535114982 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51520n1 12880f1 |
Quadratic twists by: -4 8 |