Atkin-Lehner |
2+ 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19950ba |
Isogeny class |
Conductor |
19950 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
2128896 |
Modular degree for the optimal curve |
Δ |
-4.1297184751496E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5749496,11123920838] |
[a1,a2,a3,a4,a6] |
Generators |
[582:89011:1] |
Generators of the group modulo torsion |
j |
-168152341439816283534893/330377478011967504384 |
j-invariant |
L |
4.512316125421 |
L(r)(E,1)/r! |
Ω |
0.10203812755192 |
Real period |
R |
1.5793522598156 |
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 |
59850fx1 19950ci1 |
Quadratic twists by: -3 5 |