Atkin-Lehner |
2+ 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
19760j |
Isogeny class |
Conductor |
19760 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-133577600000 = -1 · 210 · 55 · 133 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5- -1 -4 13- -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1040,11600] |
[a1,a2,a3,a4,a6] |
Generators |
[70:-650:1] [-8:52:1] |
Generators of the group modulo torsion |
j |
121368536636/130446875 |
j-invariant |
L |
6.3527480618266 |
L(r)(E,1)/r! |
Ω |
0.68851812352187 |
Real period |
R |
0.15377828229442 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9880h1 79040bj1 98800f1 |
Quadratic twists by: -4 8 5 |