Atkin-Lehner |
2- 3- 5- 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
102510y |
Isogeny class |
Conductor |
102510 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
946176 |
Modular degree for the optimal curve |
Δ |
-170511064671191040 = -1 · 228 · 38 · 5 · 172 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,114223,13159361] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:1876:1] |
Generators of the group modulo torsion |
j |
226079110470754871/233897208053760 |
j-invariant |
L |
12.410772370077 |
L(r)(E,1)/r! |
Ω |
0.21266169818734 |
Real period |
R |
1.0421290574005 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004639 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34170j1 |
Quadratic twists by: -3 |