Atkin-Lehner |
2+ 3+ 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
74550m |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
23224320 |
Modular degree for the optimal curve |
Δ |
-3.740507817984E+25 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 3 4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4589225,-294228456875] |
[a1,a2,a3,a4,a6] |
j |
684103150549349273231/2393925003509760000000 |
j-invariant |
L |
1.4445971598007 |
L(r)(E,1)/r! |
Ω |
0.030095774251558 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910bg1 |
Quadratic twists by: 5 |