Atkin-Lehner |
2+ 3+ 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
112200o |
Isogeny class |
Conductor |
112200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
249600 |
Modular degree for the optimal curve |
Δ |
-20196000000000 = -1 · 211 · 33 · 59 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 11+ -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11208,-501588] |
[a1,a2,a3,a4,a6] |
Generators |
[28912331:8394110500:343] |
Generators of the group modulo torsion |
j |
-38930218/5049 |
j-invariant |
L |
5.9058909292661 |
L(r)(E,1)/r! |
Ω |
0.23033095876231 |
Real period |
R |
12.820445274644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043227 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112200cq1 |
Quadratic twists by: 5 |