Atkin-Lehner |
2+ 5+ 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
105040c |
Isogeny class |
Conductor |
105040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
169744640 = 28 · 5 · 13 · 1012 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 -6 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-156,364] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:32:1] [2:8:1] |
Generators of the group modulo torsion |
j |
1650587344/663065 |
j-invariant |
L |
5.7452996194682 |
L(r)(E,1)/r! |
Ω |
1.6436167963389 |
Real period |
R |
3.4955225779958 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999997028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52520c1 |
Quadratic twists by: -4 |