Atkin-Lehner |
2+ 3+ 5+ 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
74550o |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12580312500000 = 25 · 34 · 510 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2120650,-1189527500] |
[a1,a2,a3,a4,a6] |
Generators |
[14078:177479:8] [3065:143780:1] |
Generators of the group modulo torsion |
j |
67501122766228172449/805140000 |
j-invariant |
L |
6.2246126420043 |
L(r)(E,1)/r! |
Ω |
0.12510719273243 |
Real period |
R |
24.877117398882 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998485 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910bh3 |
Quadratic twists by: 5 |