Atkin-Lehner |
2+ 3+ 7+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
98154a |
Isogeny class |
Conductor |
98154 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-12339126225216 = -1 · 26 · 33 · 7 · 192 · 414 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5172,-91120] |
[a1,a2,a3,a4,a6] |
Generators |
[31:298:1] |
Generators of the group modulo torsion |
j |
566615254435749/457004675008 |
j-invariant |
L |
3.8658855424957 |
L(r)(E,1)/r! |
Ω |
0.3951632244939 |
Real period |
R |
2.4457523531596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999941625 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98154bo2 |
Quadratic twists by: -3 |