Atkin-Lehner |
2- 3- 5+ 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
102510s |
Isogeny class |
Conductor |
102510 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6892395996093750 = -1 · 2 · 36 · 512 · 172 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-43373,5306347] |
[a1,a2,a3,a4,a6] |
Generators |
[-10700:184787:64] |
Generators of the group modulo torsion |
j |
-12377849083489161/9454589843750 |
j-invariant |
L |
9.431187279241 |
L(r)(E,1)/r! |
Ω |
0.38631678792277 |
Real period |
R |
6.1032729890322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012179 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11390f2 |
Quadratic twists by: -3 |