Atkin-Lehner |
2- 3- 17- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
10506h |
Isogeny class |
Conductor |
10506 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
63576596736 = 28 · 34 · 172 · 1032 |
Discriminant |
Eigenvalues |
2- 3- 2 4 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1037,-4335] |
[a1,a2,a3,a4,a6] |
j |
123334948260433/63576596736 |
j-invariant |
L |
7.1165930891417 |
L(r)(E,1)/r! |
Ω |
0.88957413614271 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
84048t2 31518f2 |
Quadratic twists by: -4 -3 |