Atkin-Lehner |
2+ 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3762h |
Isogeny class |
Conductor |
3762 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
13371191608896 = 26 · 314 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11- -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6246,73332] |
[a1,a2,a3,a4,a6] |
Generators |
[4:218:1] |
Generators of the group modulo torsion |
j |
36969300595297/18341826624 |
j-invariant |
L |
2.7001652212411 |
L(r)(E,1)/r! |
Ω |
0.62723406169921 |
Real period |
R |
2.1524382890864 |
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 |
30096bb2 120384bc2 1254i2 94050dd2 |
Quadratic twists by: -4 8 -3 5 |