Atkin-Lehner |
2+ 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
69384i |
Isogeny class |
Conductor |
69384 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-14870795184 = -1 · 24 · 38 · 74 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 0 2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-359,-6546] |
[a1,a2,a3,a4,a6] |
Generators |
[25:27:1] |
Generators of the group modulo torsion |
j |
-133568512/387099 |
j-invariant |
L |
10.23439988265 |
L(r)(E,1)/r! |
Ω |
0.50755487441992 |
Real period |
R |
1.26025780639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000104 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69384c1 |
Quadratic twists by: -7 |