Atkin-Lehner |
2+ 3+ 7+ 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98154b |
Isogeny class |
Conductor |
98154 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1413120 |
Modular degree for the optimal curve |
Δ |
1105227265869877248 = 212 · 33 · 74 · 195 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 2 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-283332,-28411568] |
[a1,a2,a3,a4,a6] |
j |
93163906730497030875/40934343180365824 |
j-invariant |
L |
0.86184955123038 |
L(r)(E,1)/r! |
Ω |
0.21546230662612 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98154bn1 |
Quadratic twists by: -3 |