Atkin-Lehner |
2- 3- 17- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
10506h |
Isogeny class |
Conductor |
10506 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6656 |
Modular degree for the optimal curve |
Δ |
-1032781824 = -1 · 216 · 32 · 17 · 103 |
Discriminant |
Eigenvalues |
2- 3- 2 4 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,243,-495] |
[a1,a2,a3,a4,a6] |
j |
1586466211247/1032781824 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
84048t1 31518f1 |
Quadratic twists by: -4 -3 |