Atkin-Lehner |
2- 3+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
96558ck |
Isogeny class |
Conductor |
96558 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
136504592856324 = 22 · 32 · 72 · 118 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11- -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19544,880661] |
[a1,a2,a3,a4,a6] |
Generators |
[9:835:1] |
Generators of the group modulo torsion |
j |
466025146777/77053284 |
j-invariant |
L |
6.8016877803177 |
L(r)(E,1)/r! |
Ω |
0.55685730041628 |
Real period |
R |
3.0536044750412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003346 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8778b2 |
Quadratic twists by: -11 |