Atkin-Lehner |
3+ 19- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
111549a |
Isogeny class |
Conductor |
111549 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
-1177511355549 = -1 · 35 · 196 · 103 |
Discriminant |
Eigenvalues |
1 3+ -1 -2 -2 5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2173,-66074] |
[a1,a2,a3,a4,a6] |
Generators |
[90:646:1] [19860:336269:64] |
Generators of the group modulo torsion |
j |
-24137569/25029 |
j-invariant |
L |
10.628020350835 |
L(r)(E,1)/r! |
Ω |
0.33570537628449 |
Real period |
R |
15.829386571942 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998698 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
309a1 |
Quadratic twists by: -19 |