Atkin-Lehner |
2- 3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
1554j |
Isogeny class |
Conductor |
1554 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
144 |
Modular degree for the optimal curve |
Δ |
-6216 = -1 · 23 · 3 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 2 -4 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7,5] |
[a1,a2,a3,a4,a6] |
Generators |
[1:0:1] |
Generators of the group modulo torsion |
j |
-38272753/6216 |
j-invariant |
L |
3.1190111777545 |
L(r)(E,1)/r! |
Ω |
4.0878238653962 |
Real period |
R |
0.25433346123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12432bp1 49728cm1 4662h1 38850be1 |
Quadratic twists by: -4 8 -3 5 |