Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
19350cv |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-1155575808000000000 = -1 · 221 · 38 · 59 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 0 1 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-46805,-51854803] |
[a1,a2,a3,a4,a6] |
Generators |
[1119:35440:1] |
Generators of the group modulo torsion |
j |
-7964053973/811597824 |
j-invariant |
L |
7.5620131222054 |
L(r)(E,1)/r! |
Ω |
0.12146891221662 |
Real period |
R |
0.74112761938623 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6450r1 19350be1 |
Quadratic twists by: -3 5 |