Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35568bl |
Isogeny class |
Conductor |
35568 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-233361648 = -1 · 24 · 310 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -2 13+ 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2181,39211] |
[a1,a2,a3,a4,a6] |
Generators |
[26:9:1] |
Generators of the group modulo torsion |
j |
-98365589248/20007 |
j-invariant |
L |
3.6352828494288 |
L(r)(E,1)/r! |
Ω |
1.7131854217318 |
Real period |
R |
1.0609718023851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8892i1 11856bf1 |
Quadratic twists by: -4 -3 |