Atkin-Lehner |
2+ 3+ 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
54390j |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
127680 |
Modular degree for the optimal curve |
Δ |
-12797858220000 = -1 · 25 · 3 · 54 · 78 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 5 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4238,137236] |
[a1,a2,a3,a4,a6] |
j |
1459694999/2220000 |
j-invariant |
L |
1.9307884739943 |
L(r)(E,1)/r! |
Ω |
0.48269711870577 |
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 |
54390s1 |
Quadratic twists by: -7 |