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 |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
173077696512 = 212 · 33 · 72 · 19 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1548,-11824] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:67:1] |
Generators of the group modulo torsion |
j |
15199546066011/6410285056 |
j-invariant |
L |
3.8658855424957 |
L(r)(E,1)/r! |
Ω |
0.7903264489878 |
Real period |
R |
1.2228761765798 |
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 |
98154bo1 |
Quadratic twists by: -3 |