Atkin-Lehner |
2- 3+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96558bz |
Isogeny class |
Conductor |
96558 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
8667648 |
Modular degree for the optimal curve |
Δ |
-6.8265427143644E+20 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20696024,-36269610343] |
[a1,a2,a3,a4,a6] |
Generators |
[1132467281673:-100541926104407:111284641] |
Generators of the group modulo torsion |
j |
-415767276870854147/289512050688 |
j-invariant |
L |
7.3716368946204 |
L(r)(E,1)/r! |
Ω |
0.035389929075584 |
Real period |
R |
17.358132412607 |
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 |
96558c1 |
Quadratic twists by: -11 |