Atkin-Lehner |
2+ 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
11050k |
Isogeny class |
Conductor |
11050 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
844800 |
Modular degree for the optimal curve |
Δ |
2.6576509846815E+21 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 -2 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3623776,947265198] |
[a1,a2,a3,a4,a6] |
Generators |
[-1698:47811:1] |
Generators of the group modulo torsion |
j |
336811992790162430449/170089663019614208 |
j-invariant |
L |
2.5557013992167 |
L(r)(E,1)/r! |
Ω |
0.12726958180282 |
Real period |
R |
1.004050364201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88400bs1 99450dd1 442e1 |
Quadratic twists by: -4 -3 5 |