Atkin-Lehner |
2- 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
38148g |
Isogeny class |
Conductor |
38148 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
36288 |
Modular degree for the optimal curve |
Δ |
-256127503104 = -1 · 28 · 32 · 113 · 174 |
Discriminant |
Eigenvalues |
2- 3+ -1 -2 11- 0 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1541,34209] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-102:1] [-37:198:1] |
Generators of the group modulo torsion |
j |
-18939904/11979 |
j-invariant |
L |
7.0818512540372 |
L(r)(E,1)/r! |
Ω |
0.90955914962858 |
Real period |
R |
0.14418566802042 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114444l1 38148i1 |
Quadratic twists by: -3 17 |