Atkin-Lehner |
2+ 3- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
38064p |
Isogeny class |
Conductor |
38064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
250879824 = 24 · 32 · 134 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-239,-1284] |
[a1,a2,a3,a4,a6] |
Generators |
[40:234:1] [52:360:1] |
Generators of the group modulo torsion |
j |
94757435392/15679989 |
j-invariant |
L |
9.2903099354359 |
L(r)(E,1)/r! |
Ω |
1.2274397935622 |
Real period |
R |
3.7844259181442 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19032e1 114192p1 |
Quadratic twists by: -4 -3 |