Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
29400bj |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
49412580000000 = 28 · 3 · 57 · 77 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44508,3583488] |
[a1,a2,a3,a4,a6] |
Generators |
[-52:2400:1] |
Generators of the group modulo torsion |
j |
20720464/105 |
j-invariant |
L |
6.9563722856741 |
L(r)(E,1)/r! |
Ω |
0.6378315078096 |
Real period |
R |
2.7265712811692 |
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 |
58800o1 88200fy1 5880x1 4200a1 |
Quadratic twists by: -4 -3 5 -7 |