Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
17400ba |
Isogeny class |
Conductor |
17400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-509242320000000 = -1 · 210 · 32 · 57 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16992,-677988] |
[a1,a2,a3,a4,a6] |
Generators |
[137:2050:1] |
Generators of the group modulo torsion |
j |
33908741276/31827645 |
j-invariant |
L |
4.3451457050523 |
L(r)(E,1)/r! |
Ω |
0.28567475361106 |
Real period |
R |
3.8025286187593 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34800bd3 52200f3 3480k4 |
Quadratic twists by: -4 -3 5 |