Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
5040h |
Isogeny class |
Conductor |
5040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
967680 = 210 · 33 · 5 · 7 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27,26] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:6:1] |
Generators of the group modulo torsion |
j |
78732/35 |
j-invariant |
L |
4.1609389800014 |
L(r)(E,1)/r! |
Ω |
2.5030384253051 |
Real period |
R |
0.83117760756992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2520c1 20160cy1 5040d1 25200j1 |
Quadratic twists by: -4 8 -3 5 |