Atkin-Lehner |
2+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
21280n |
Isogeny class |
Conductor |
21280 |
Conductor |
∏ cp |
420 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-36889348160000000 = -1 · 212 · 57 · 75 · 193 |
Discriminant |
Eigenvalues |
2+ -1 5- 7- -6 -4 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-50625,10244977] |
[a1,a2,a3,a4,a6] |
Generators |
[-291:500:1] [-216:3325:1] |
Generators of the group modulo torsion |
j |
-3503220321549376/9006188515625 |
j-invariant |
L |
6.596021253441 |
L(r)(E,1)/r! |
Ω |
0.32305489742408 |
Real period |
R |
0.048613448158253 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21280v1 42560n1 106400bu1 |
Quadratic twists by: -4 8 5 |