Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
29400bo |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
-8467200 = -1 · 28 · 33 · 52 · 72 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,47,83] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:6:1] |
Generators of the group modulo torsion |
j |
35840/27 |
j-invariant |
L |
7.3208789597405 |
L(r)(E,1)/r! |
Ω |
1.486264828398 |
Real period |
R |
0.41047411940888 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58800z1 88200gq1 29400dk1 29400a1 |
Quadratic twists by: -4 -3 5 -7 |