Atkin-Lehner |
3- 5- 23+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
48645i |
Isogeny class |
Conductor |
48645 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
483072 |
Modular degree for the optimal curve |
Δ |
-2544219407799675 = -1 · 323 · 52 · 23 · 47 |
Discriminant |
Eigenvalues |
-2 3- 5- 2 4 6 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-193737,32911740] |
[a1,a2,a3,a4,a6] |
j |
-1103148287494303744/3490012905075 |
j-invariant |
L |
1.8345854308925 |
L(r)(E,1)/r! |
Ω |
0.45864635765589 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16215f1 |
Quadratic twists by: -3 |