Atkin-Lehner |
2+ 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
18648i |
Isogeny class |
Conductor |
18648 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
12897292459226112 = 210 · 310 · 78 · 37 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-71931,-5028154] |
[a1,a2,a3,a4,a6] |
Generators |
[-209:936:1] |
Generators of the group modulo torsion |
j |
55137176303332/17277108597 |
j-invariant |
L |
4.1425030856555 |
L(r)(E,1)/r! |
Ω |
0.29869239594451 |
Real period |
R |
3.4671983132985 |
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 |
37296bf3 6216m3 |
Quadratic twists by: -4 -3 |