Atkin-Lehner |
2+ 3- 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
98490u |
Isogeny class |
Conductor |
98490 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-9221352533808688980 = -1 · 22 · 34 · 5 · 710 · 674 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,198816,-142044878] |
[a1,a2,a3,a4,a6] |
Generators |
[428:4422:1] [515:9591:1] |
Generators of the group modulo torsion |
j |
7387416888387479/78380203264020 |
j-invariant |
L |
9.3455339390923 |
L(r)(E,1)/r! |
Ω |
0.11371763879038 |
Real period |
R |
2.5681850122902 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000759 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14070b4 |
Quadratic twists by: -7 |