Atkin-Lehner |
2- 3- 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390cu |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
114 |
Product of Tamagawa factors cp |
deg |
103968 |
Modular degree for the optimal curve |
Δ |
-641610547200 = -1 · 219 · 33 · 52 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 -6 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3361,84041] |
[a1,a2,a3,a4,a6] |
Generators |
[26:107:1] |
Generators of the group modulo torsion |
j |
-85692190673761/13094092800 |
j-invariant |
L |
9.6764947748735 |
L(r)(E,1)/r! |
Ω |
0.87978546286731 |
Real period |
R |
0.096479808652502 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54390bv1 |
Quadratic twists by: -7 |