Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
29400bl |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-12348000000 = -1 · 28 · 32 · 56 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,292,5088] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:48:1] |
Generators of the group modulo torsion |
j |
2000/9 |
j-invariant |
L |
7.388868854824 |
L(r)(E,1)/r! |
Ω |
0.90726859835623 |
Real period |
R |
2.0360202227353 |
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 |
58800s1 88200ga1 1176g1 29400e1 |
Quadratic twists by: -4 -3 5 -7 |