Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
10416f |
Isogeny class |
Conductor |
10416 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
35151750144 = 210 · 36 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 -2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15624,756864] |
[a1,a2,a3,a4,a6] |
Generators |
[45:378:1] |
Generators of the group modulo torsion |
j |
411934572562468/34327881 |
j-invariant |
L |
3.0915696374206 |
L(r)(E,1)/r! |
Ω |
1.1078183442861 |
Real period |
R |
1.3953414173751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5208l2 41664ej2 31248w2 72912u2 |
Quadratic twists by: -4 8 -3 -7 |