Atkin-Lehner |
2- 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3762n |
Isogeny class |
Conductor |
3762 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-20634554952 = -1 · 23 · 310 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11+ -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,31,-6919] |
[a1,a2,a3,a4,a6] |
Generators |
[33:154:1] |
Generators of the group modulo torsion |
j |
4657463/28305288 |
j-invariant |
L |
5.3650469455009 |
L(r)(E,1)/r! |
Ω |
0.56138977053895 |
Real period |
R |
0.79639364470284 |
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 |
30096bl2 120384bw2 1254e2 94050k2 |
Quadratic twists by: -4 8 -3 5 |