Atkin-Lehner |
2- 3- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
29664g |
Isogeny class |
Conductor |
29664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
123904 |
Modular degree for the optimal curve |
Δ |
-54482685087744 = -1 · 212 · 317 · 103 |
Discriminant |
Eigenvalues |
2- 3- 3 -4 0 -1 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31116,-2142272] |
[a1,a2,a3,a4,a6] |
Generators |
[53545:993177:125] |
Generators of the group modulo torsion |
j |
-1115802998848/18246141 |
j-invariant |
L |
6.0288404333625 |
L(r)(E,1)/r! |
Ω |
0.17955679887158 |
Real period |
R |
8.3940575785079 |
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 |
29664i1 59328bk1 9888d1 |
Quadratic twists by: -4 8 -3 |