Atkin-Lehner |
2+ 3- 5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
103350p |
Isogeny class |
Conductor |
103350 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
232165440000000 = 212 · 34 · 57 · 132 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -4 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18526,634448] |
[a1,a2,a3,a4,a6] |
Generators |
[22:476:1] |
Generators of the group modulo torsion |
j |
45000254125009/14858588160 |
j-invariant |
L |
6.1457327073567 |
L(r)(E,1)/r! |
Ω |
0.51420214106095 |
Real period |
R |
0.74699863131292 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999640488 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20670w1 |
Quadratic twists by: 5 |