Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
102850ce |
Isogeny class |
Conductor |
102850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
30116537000000 = 26 · 56 · 116 · 17 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9138,-211969] |
[a1,a2,a3,a4,a6] |
Generators |
[-915:7069:27] |
Generators of the group modulo torsion |
j |
3048625/1088 |
j-invariant |
L |
13.557367804831 |
L(r)(E,1)/r! |
Ω |
0.50273062694213 |
Real period |
R |
4.4945765700537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017272 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4114b1 850b1 |
Quadratic twists by: 5 -11 |