Atkin-Lehner |
2+ 3- 5+ 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
103350s |
Isogeny class |
Conductor |
103350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-11218022400000000 = -1 · 218 · 3 · 58 · 13 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 0 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,35724,-4380302] |
[a1,a2,a3,a4,a6] |
Generators |
[47446:590918:343] |
Generators of the group modulo torsion |
j |
322701811749071/717953433600 |
j-invariant |
L |
5.9780089340613 |
L(r)(E,1)/r! |
Ω |
0.20946562781227 |
Real period |
R |
7.1348328313016 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999676891 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20670s1 |
Quadratic twists by: 5 |