Atkin-Lehner |
2+ 5- 29- 73- |
Signs for the Atkin-Lehner involutions |
Class |
21170c |
Isogeny class |
Conductor |
21170 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
8800 |
Modular degree for the optimal curve |
Δ |
-21678080 = -1 · 211 · 5 · 29 · 73 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 5 6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-612,5584] |
[a1,a2,a3,a4,a6] |
j |
-25414777168201/21678080 |
j-invariant |
L |
2.134393449581 |
L(r)(E,1)/r! |
Ω |
2.134393449581 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105850g1 |
Quadratic twists by: 5 |