Atkin-Lehner |
2+ 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
37296g |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-9135431424 = -1 · 28 · 39 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -2 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,81,4590] |
[a1,a2,a3,a4,a6] |
Generators |
[10:80:1] |
Generators of the group modulo torsion |
j |
11664/1813 |
j-invariant |
L |
6.7342483911948 |
L(r)(E,1)/r! |
Ω |
1.0005993822415 |
Real period |
R |
3.3651072100949 |
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 |
18648t1 37296h1 |
Quadratic twists by: -4 -3 |