Atkin-Lehner |
2+ 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
37296q |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
370343852005204224 = 28 · 38 · 76 · 374 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5634831,-5148283250] |
[a1,a2,a3,a4,a6] |
Generators |
[14461854:1467945400:1331] |
Generators of the group modulo torsion |
j |
106022710798663038928/1984438507401 |
j-invariant |
L |
4.5074147962403 |
L(r)(E,1)/r! |
Ω |
0.097989562489997 |
Real period |
R |
11.499731914558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18648bg2 12432l2 |
Quadratic twists by: -4 -3 |