Atkin-Lehner |
2- 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10416u |
Isogeny class |
Conductor |
10416 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-24694419456 = -1 · 212 · 34 · 74 · 31 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,576,5184] |
[a1,a2,a3,a4,a6] |
Generators |
[0:72:1] |
Generators of the group modulo torsion |
j |
5150827583/6028911 |
j-invariant |
L |
2.9131218613568 |
L(r)(E,1)/r! |
Ω |
0.79791389173569 |
Real period |
R |
0.91273065036501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
651d1 41664dn1 31248bp1 72912cj1 |
Quadratic twists by: -4 8 -3 -7 |