Atkin-Lehner |
3- 5- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
19665t |
Isogeny class |
Conductor |
19665 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
190400 |
Modular degree for the optimal curve |
Δ |
-283741051492096875 = -1 · 313 · 55 · 195 · 23 |
Discriminant |
Eigenvalues |
0 3- 5- -4 1 5 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,129948,-18213098] |
[a1,a2,a3,a4,a6] |
Generators |
[172:3037:1] |
Generators of the group modulo torsion |
j |
332893245351919616/389219549371875 |
j-invariant |
L |
3.8736400917522 |
L(r)(E,1)/r! |
Ω |
0.16584957178523 |
Real period |
R |
1.1678173329168 |
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 |
6555a1 98325bd1 |
Quadratic twists by: -3 5 |