Atkin-Lehner |
2- 3+ 7+ 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
98154bo |
Isogeny class |
Conductor |
98154 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
126173640757248 = 212 · 39 · 72 · 19 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13934,333181] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:659:1] |
Generators of the group modulo torsion |
j |
15199546066011/6410285056 |
j-invariant |
L |
12.428686509812 |
L(r)(E,1)/r! |
Ω |
0.53034207719513 |
Real period |
R |
0.97646775482754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009646 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98154a1 |
Quadratic twists by: -3 |