Atkin-Lehner |
2+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
115520k |
Isogeny class |
Conductor |
115520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-2.9290389143552E+19 |
Discriminant |
Eigenvalues |
2+ 1 5+ -1 0 -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-693601,342166015] |
[a1,a2,a3,a4,a6] |
Generators |
[-621:23104:1] [2067:88000:1] |
Generators of the group modulo torsion |
j |
-2992209121/2375000 |
j-invariant |
L |
12.598204025153 |
L(r)(E,1)/r! |
Ω |
0.19232014648752 |
Real period |
R |
4.0941511632266 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001502 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115520by1 3610e1 6080a1 |
Quadratic twists by: -4 8 -19 |