Atkin-Lehner |
2- 3+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
74448q |
Isogeny class |
Conductor |
74448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-14637072384 = -1 · 220 · 33 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 2 2 11+ -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,261,-5590] |
[a1,a2,a3,a4,a6] |
Generators |
[1508:7475:64] |
Generators of the group modulo torsion |
j |
17779581/132352 |
j-invariant |
L |
7.930296582182 |
L(r)(E,1)/r! |
Ω |
0.62093729074051 |
Real period |
R |
6.3857467572202 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000776 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9306i1 74448t1 |
Quadratic twists by: -4 -3 |