Atkin-Lehner |
2- 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710cs |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-339426052290000 = -1 · 24 · 312 · 54 · 13 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -6 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,12404,710240] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:230:1] [-10:770:1] |
Generators of the group modulo torsion |
j |
42959580557167/69087330000 |
j-invariant |
L |
17.959948151023 |
L(r)(E,1)/r! |
Ω |
0.36860168952821 |
Real period |
R |
1.0150946050772 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112710ch2 |
Quadratic twists by: 17 |