Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38088d |
Isogeny class |
Conductor |
38088 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1655306917632 = -1 · 28 · 312 · 233 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 0 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-759,-62422] |
[a1,a2,a3,a4,a6] |
Generators |
[1771:74520:1] |
Generators of the group modulo torsion |
j |
-21296/729 |
j-invariant |
L |
6.0679065817481 |
L(r)(E,1)/r! |
Ω |
0.36691960019188 |
Real period |
R |
4.1343570761649 |
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 |
76176i2 12696n2 38088k2 |
Quadratic twists by: -4 -3 -23 |