Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
5040w |
Isogeny class |
Conductor |
5040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
55112400 = 24 · 39 · 52 · 7 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108,243] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:10:1] |
Generators of the group modulo torsion |
j |
442368/175 |
j-invariant |
L |
3.6194186364243 |
L(r)(E,1)/r! |
Ω |
1.8076076203669 |
Real period |
R |
2.0023253916631 |
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 |
1260a1 20160dk1 5040ba1 25200cr1 |
Quadratic twists by: -4 8 -3 5 |