Atkin-Lehner |
3+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
897a |
Isogeny class |
Conductor |
897 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
-13490879103 = -1 · 38 · 132 · 233 |
Discriminant |
Eigenvalues |
1 3+ -4 2 -2 13- 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-97,5560] |
[a1,a2,a3,a4,a6] |
j |
-102568953241/13490879103 |
j-invariant |
L |
1.0302057839896 |
L(r)(E,1)/r! |
Ω |
1.0302057839896 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14352bl1 57408be1 2691h1 22425n1 |
Quadratic twists by: -4 8 -3 5 |