Atkin-Lehner |
2+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
102850bp |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11088000 |
Modular degree for the optimal curve |
Δ |
-1.2471329761995E+23 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 11- 1 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13810701,26055299048] |
[a1,a2,a3,a4,a6] |
Generators |
[1893310:80876191:1000] |
Generators of the group modulo torsion |
j |
-420973434058945/180217357408 |
j-invariant |
L |
3.5127617515148 |
L(r)(E,1)/r! |
Ω |
0.097821795298539 |
Real period |
R |
8.9774516307474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024518 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102850co1 9350bj1 |
Quadratic twists by: 5 -11 |