Atkin-Lehner |
2+ 3- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
96558bo |
Isogeny class |
Conductor |
96558 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
14774558873260032 = 212 · 37 · 72 · 116 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- 11- 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-122818,-15510508] |
[a1,a2,a3,a4,a6] |
Generators |
[-179:953:1] |
Generators of the group modulo torsion |
j |
115650783909361/8339853312 |
j-invariant |
L |
5.1468036970829 |
L(r)(E,1)/r! |
Ω |
0.25618620497016 |
Real period |
R |
1.4350063702717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999983625 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
798h1 |
Quadratic twists by: -11 |