Atkin-Lehner |
5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
10175b |
Isogeny class |
Conductor |
10175 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-111925 = -1 · 52 · 112 · 37 |
Discriminant |
Eigenvalues |
-1 0 5+ 2 11+ 0 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10,22] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:6:1] |
Generators of the group modulo torsion |
j |
-4021785/4477 |
j-invariant |
L |
2.6918237626485 |
L(r)(E,1)/r! |
Ω |
3.024317821687 |
Real period |
R |
0.44502990779371 |
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 |
91575bb1 10175k1 111925e1 |
Quadratic twists by: -3 5 -11 |