Atkin-Lehner |
2- 3- 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
38220ba |
Isogeny class |
Conductor |
38220 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
160524000000 = 28 · 32 · 56 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 13- 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4076,-99660] |
[a1,a2,a3,a4,a6] |
Generators |
[1418:17487:8] |
Generators of the group modulo torsion |
j |
85309755568/1828125 |
j-invariant |
L |
7.4238443608803 |
L(r)(E,1)/r! |
Ω |
0.59827142661174 |
Real period |
R |
6.2044116020412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114660ca2 38220o2 |
Quadratic twists by: -3 -7 |