Atkin-Lehner |
2- 11+ 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
10582f |
Isogeny class |
Conductor |
10582 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-21649518583264 = -1 · 25 · 113 · 135 · 372 |
Discriminant |
Eigenvalues |
2- 0 -1 1 11+ 13- 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2046313,-1126182775] |
[a1,a2,a3,a4,a6] |
j |
-947631967905049551189729/21649518583264 |
j-invariant |
L |
3.1557062031084 |
L(r)(E,1)/r! |
Ω |
0.063114124062168 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84656z1 95238bn1 116402e1 |
Quadratic twists by: -4 -3 -11 |