Atkin-Lehner |
3+ 5- 29- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
18705c |
Isogeny class |
Conductor |
18705 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
40153817745 = 34 · 5 · 29 · 434 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1120,-11200] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:70:1] |
Generators of the group modulo torsion |
j |
155382467950081/40153817745 |
j-invariant |
L |
2.8773883412943 |
L(r)(E,1)/r! |
Ω |
0.84104071740285 |
Real period |
R |
3.4212235885318 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56115c4 93525t4 |
Quadratic twists by: -3 5 |