Atkin-Lehner |
2+ 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
37296g |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
193149121536 = 210 · 39 · 7 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -2 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3699,83970] |
[a1,a2,a3,a4,a6] |
Generators |
[3:270:1] |
Generators of the group modulo torsion |
j |
277706124/9583 |
j-invariant |
L |
6.7342483911948 |
L(r)(E,1)/r! |
Ω |
1.0005993822415 |
Real period |
R |
1.6825536050474 |
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 |
18648t2 37296h2 |
Quadratic twists by: -4 -3 |