Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
6720c |
Isogeny class |
Conductor |
6720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
94411161600 = 219 · 3 · 52 · 74 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-122931201,-524574745599] |
[a1,a2,a3,a4,a6] |
Generators |
[-795828383475275077993946920:-131945583027042722231:124328762589697093781821] |
Generators of the group modulo torsion |
j |
783736670177727068275201/360150 |
j-invariant |
L |
3.2776134934885 |
L(r)(E,1)/r! |
Ω |
0.045340261776746 |
Real period |
R |
36.144624722585 |
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 |
6720cd7 210e7 20160ce7 33600da8 |
Quadratic twists by: -4 8 -3 5 |