Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
10416l |
Isogeny class |
Conductor |
10416 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-166656 = -1 · 28 · 3 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 0 -7 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-225,1227] |
[a1,a2,a3,a4,a6] |
j |
-4942652416/651 |
j-invariant |
L |
3.1069955825392 |
L(r)(E,1)/r! |
Ω |
3.1069955825392 |
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 |
5208g1 41664da1 31248u1 72912f1 |
Quadratic twists by: -4 8 -3 -7 |