Atkin-Lehner |
2+ 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
84474u |
Isogeny class |
Conductor |
84474 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-15032739618 = -1 · 2 · 36 · 134 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 -3 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5397,154079] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:574:1] [35:67:1] |
Generators of the group modulo torsion |
j |
-66068051625/57122 |
j-invariant |
L |
8.183995782201 |
L(r)(E,1)/r! |
Ω |
1.237633401464 |
Real period |
R |
1.6531542726359 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9386l1 84474br1 |
Quadratic twists by: -3 -19 |