Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
37296cm |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
11827679606378496 = 212 · 316 · 72 · 372 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-189579,-31337350] |
[a1,a2,a3,a4,a6] |
Generators |
[21677:3190880:1] |
Generators of the group modulo torsion |
j |
252352098250057/3961065969 |
j-invariant |
L |
6.9952929243385 |
L(r)(E,1)/r! |
Ω |
0.22901563867769 |
Real period |
R |
7.6362611792887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2331a2 12432bk2 |
Quadratic twists by: -4 -3 |