Atkin-Lehner |
2- 3- 5- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
37380j |
Isogeny class |
Conductor |
37380 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
565892082000 = 24 · 36 · 53 · 72 · 892 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1488345,698385600] |
[a1,a2,a3,a4,a6] |
Generators |
[-720:37380:1] |
Generators of the group modulo torsion |
j |
22788453825192951463936/35368255125 |
j-invariant |
L |
7.5152771928874 |
L(r)(E,1)/r! |
Ω |
0.59152934300809 |
Real period |
R |
2.1174709481781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
112140i1 |
Quadratic twists by: -3 |