Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
55272q |
Isogeny class |
Conductor |
55272 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-42448896 = -1 · 211 · 32 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 3 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-240,1548] |
[a1,a2,a3,a4,a6] |
Generators |
[9:6:1] |
Generators of the group modulo torsion |
j |
-15298178/423 |
j-invariant |
L |
6.0931840615494 |
L(r)(E,1)/r! |
Ω |
2.0261066838864 |
Real period |
R |
1.5036681212314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110544bn1 55272ba1 |
Quadratic twists by: -4 -7 |