Atkin-Lehner |
3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
2331a |
Isogeny class |
Conductor |
2331 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2887617091401 = 316 · 72 · 372 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 0 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11849,492608] |
[a1,a2,a3,a4,a6] |
Generators |
[106:594:1] |
Generators of the group modulo torsion |
j |
252352098250057/3961065969 |
j-invariant |
L |
2.2162519074875 |
L(r)(E,1)/r! |
Ω |
0.80554199100791 |
Real period |
R |
2.751255592169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
37296cm2 777e2 58275o2 16317i2 |
Quadratic twists by: -4 -3 5 -7 |