Atkin-Lehner |
2- 3+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96558bz |
Isogeny class |
Conductor |
96558 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1946009475759754944 = 26 · 36 · 72 · 119 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-331191704,-2320027435879] |
[a1,a2,a3,a4,a6] |
Generators |
[-532234677:264556387:50653] |
Generators of the group modulo torsion |
j |
1703836410225220442627/825297984 |
j-invariant |
L |
7.3716368946204 |
L(r)(E,1)/r! |
Ω |
0.035389929075584 |
Real period |
R |
8.6790662063034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999932435 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96558c2 |
Quadratic twists by: -11 |