Atkin-Lehner |
2- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10450x |
Isogeny class |
Conductor |
10450 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
-10450 = -1 · 2 · 52 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ 3 11+ -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5,-3] |
[a1,a2,a3,a4,a6] |
Generators |
[30:43:8] |
Generators of the group modulo torsion |
j |
663255/418 |
j-invariant |
L |
6.9491396125118 |
L(r)(E,1)/r! |
Ω |
2.3347994199995 |
Real period |
R |
2.9763325932783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83600br1 94050bm1 10450l1 114950i1 |
Quadratic twists by: -4 -3 5 -11 |