Atkin-Lehner |
2+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
114950x |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
93312 |
Modular degree for the optimal curve |
Δ |
-71843750 = -1 · 2 · 56 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ -3 11- -1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9367,351291] |
[a1,a2,a3,a4,a6] |
Generators |
[59:8:1] |
Generators of the group modulo torsion |
j |
-48077951625/38 |
j-invariant |
L |
2.8125988969219 |
L(r)(E,1)/r! |
Ω |
1.618742022737 |
Real period |
R |
0.86876068871026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000099152 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4598p1 114950cc1 |
Quadratic twists by: 5 -11 |