Atkin-Lehner |
2+ 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
84474n |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-1.0568832693759E+19 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 -3 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-505287,208877629] |
[a1,a2,a3,a4,a6] |
Generators |
[-603:17449:1] |
Generators of the group modulo torsion |
j |
-415996269625/308161152 |
j-invariant |
L |
3.2433585950297 |
L(r)(E,1)/r! |
Ω |
0.20985330317836 |
Real period |
R |
1.9319201446671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013406 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28158l1 4446u1 |
Quadratic twists by: -3 -19 |