Atkin-Lehner |
3+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
1113d |
Isogeny class |
Conductor |
1113 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
160 |
Modular degree for the optimal curve |
Δ |
-8016939 = -1 · 32 · 75 · 53 |
Discriminant |
Eigenvalues |
0 3+ -1 7- 1 0 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,49,-55] |
[a1,a2,a3,a4,a6] |
Generators |
[17:73:1] |
Generators of the group modulo torsion |
j |
12747309056/8016939 |
j-invariant |
L |
1.867859666144 |
L(r)(E,1)/r! |
Ω |
1.3428932950287 |
Real period |
R |
0.13909218796898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17808s1 71232bm1 3339f1 27825j1 |
Quadratic twists by: -4 8 -3 5 |