Atkin-Lehner |
3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
29547r |
Isogeny class |
Conductor |
29547 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
158400 |
Modular degree for the optimal curve |
Δ |
-1396358216001 = -1 · 311 · 76 · 67 |
Discriminant |
Eigenvalues |
-1 3- -3 7- 0 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-350384,79917212] |
[a1,a2,a3,a4,a6] |
Generators |
[342:-176:1] |
Generators of the group modulo torsion |
j |
-55467626237353/16281 |
j-invariant |
L |
2.3760706856355 |
L(r)(E,1)/r! |
Ω |
0.68548786248166 |
Real period |
R |
1.7331238200436 |
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 |
9849m1 603c1 |
Quadratic twists by: -3 -7 |