Atkin-Lehner |
2+ 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38088n |
Isogeny class |
Conductor |
38088 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
270336 |
Modular degree for the optimal curve |
Δ |
-51469193681895168 = -1 · 28 · 310 · 237 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20631,10974634] |
[a1,a2,a3,a4,a6] |
Generators |
[110:3168:1] |
Generators of the group modulo torsion |
j |
-35152/1863 |
j-invariant |
L |
5.6287333174789 |
L(r)(E,1)/r! |
Ω |
0.29452531472678 |
Real period |
R |
4.77780095295 |
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 |
76176y1 12696q1 1656c1 |
Quadratic twists by: -4 -3 -23 |