Atkin-Lehner |
3+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
897b |
Isogeny class |
Conductor |
897 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
160 |
Modular degree for the optimal curve |
Δ |
-5912127 = -1 · 32 · 134 · 23 |
Discriminant |
Eigenvalues |
-1 3+ 2 4 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-52,164] |
[a1,a2,a3,a4,a6] |
j |
-15568817473/5912127 |
j-invariant |
L |
1.1256932605428 |
L(r)(E,1)/r! |
Ω |
2.2513865210855 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14352bk1 57408bd1 2691d1 22425m1 |
Quadratic twists by: -4 8 -3 5 |