Atkin-Lehner |
2+ 5+ 17- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
85850k |
Isogeny class |
Conductor |
85850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-62026625000 = -1 · 23 · 56 · 173 · 101 |
Discriminant |
Eigenvalues |
2+ -1 5+ -4 -5 -4 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,825,8125] |
[a1,a2,a3,a4,a6] |
Generators |
[25:200:1] [-5:65:1] |
Generators of the group modulo torsion |
j |
3966822287/3969704 |
j-invariant |
L |
5.1454415721969 |
L(r)(E,1)/r! |
Ω |
0.72951074771829 |
Real period |
R |
0.58777310546557 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000611 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3434a1 |
Quadratic twists by: 5 |