Atkin-Lehner |
2+ 3- 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
98490u |
Isogeny class |
Conductor |
98490 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
67914726268611600 = 24 · 38 · 52 · 78 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-198084,-31547918] |
[a1,a2,a3,a4,a6] |
Generators |
[-307:747:1] [-262:1674:1] |
Generators of the group modulo torsion |
j |
7306014206410921/577265648400 |
j-invariant |
L |
9.3455339390923 |
L(r)(E,1)/r! |
Ω |
0.22743527758076 |
Real period |
R |
2.5681850122902 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000759 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14070b2 |
Quadratic twists by: -7 |