Atkin-Lehner |
2- 3+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
55272o |
Isogeny class |
Conductor |
55272 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
-1316247408 = -1 · 24 · 36 · 74 · 47 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -6 6 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7464,250713] |
[a1,a2,a3,a4,a6] |
Generators |
[48:27:1] |
Generators of the group modulo torsion |
j |
-1197249448192/34263 |
j-invariant |
L |
3.4171803796045 |
L(r)(E,1)/r! |
Ω |
1.4198818155534 |
Real period |
R |
0.60166633981053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996912 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110544x1 55272be1 |
Quadratic twists by: -4 -7 |