Atkin-Lehner |
2+ 5+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
38350a |
Isogeny class |
Conductor |
38350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4956626028055000000 = -1 · 26 · 57 · 136 · 593 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,388375,-52706875] |
[a1,a2,a3,a4,a6] |
Generators |
[351725:10837250:1331] |
Generators of the group modulo torsion |
j |
414625241664681839/317224065795520 |
j-invariant |
L |
5.1040845943068 |
L(r)(E,1)/r! |
Ω |
0.13562360945459 |
Real period |
R |
9.4085473296905 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7670i3 |
Quadratic twists by: 5 |