Atkin-Lehner |
5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10285d |
Isogeny class |
Conductor |
10285 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
-174845 = -1 · 5 · 112 · 172 |
Discriminant |
Eigenvalues |
-1 1 5+ -3 11- -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,14,1] |
[a1,a2,a3,a4,a6] |
Generators |
[3:7:1] [33:175:1] |
Generators of the group modulo torsion |
j |
2496791/1445 |
j-invariant |
L |
4.1420478187231 |
L(r)(E,1)/r! |
Ω |
1.9156373415461 |
Real period |
R |
1.081114814608 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92565bx1 51425p1 10285g1 |
Quadratic twists by: -3 5 -11 |