Atkin-Lehner |
3- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
19239i |
Isogeny class |
Conductor |
19239 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
178833826728513 = 33 · 119 · 532 |
Discriminant |
Eigenvalues |
1 3- 2 -2 11+ 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2102620,-1173691411] |
[a1,a2,a3,a4,a6] |
Generators |
[10497071952783:-211717017888442:5649262541] |
Generators of the group modulo torsion |
j |
435985074634283/75843 |
j-invariant |
L |
7.8549719878049 |
L(r)(E,1)/r! |
Ω |
0.1253745496945 |
Real period |
R |
20.884015155508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57717l1 19239j1 |
Quadratic twists by: -3 -11 |