Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
29232bt |
Isogeny class |
Conductor |
29232 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-1856348928 = -1 · 28 · 36 · 73 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 0 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-360,-3348] |
[a1,a2,a3,a4,a6] |
Generators |
[34:154:1] |
Generators of the group modulo torsion |
j |
-27648000/9947 |
j-invariant |
L |
5.9053635791843 |
L(r)(E,1)/r! |
Ω |
0.53830660549653 |
Real period |
R |
1.8283767153285 |
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 |
7308d1 116928dy1 3248m1 |
Quadratic twists by: -4 8 -3 |