Atkin-Lehner |
2- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
102850ct |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
6285312 |
Modular degree for the optimal curve |
Δ |
-1.429097692946E+21 |
Discriminant |
Eigenvalues |
2- 0 5- -4 11+ -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9046225,-10626978623] |
[a1,a2,a3,a4,a6] |
Generators |
[8599:735540:1] |
Generators of the group modulo torsion |
j |
-277767636824223/4848615424 |
j-invariant |
L |
6.2177307565513 |
L(r)(E,1)/r! |
Ω |
0.04348132870284 |
Real period |
R |
2.9791191099531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012612 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102850bi1 102850bh1 |
Quadratic twists by: 5 -11 |