Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440ce |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
726669066240 = 217 · 38 · 5 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 0 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7212,-232144] |
[a1,a2,a3,a4,a6] |
Generators |
[100:216:1] |
Generators of the group modulo torsion |
j |
434163602/7605 |
j-invariant |
L |
5.5221800583059 |
L(r)(E,1)/r! |
Ω |
0.51861755062172 |
Real period |
R |
2.6619712597871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440ez2 4680p2 12480c2 |
Quadratic twists by: -4 8 -3 |