Atkin-Lehner |
2+ 3- 5+ 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
97110n |
Isogeny class |
Conductor |
97110 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
3988016370 = 2 · 37 · 5 · 133 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -2 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-405,891] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:66:1] |
Generators of the group modulo torsion |
j |
10091699281/5470530 |
j-invariant |
L |
3.7911397553323 |
L(r)(E,1)/r! |
Ω |
1.2138547920757 |
Real period |
R |
0.5205372425465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999931914 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32370bl1 |
Quadratic twists by: -3 |