Atkin-Lehner |
2- 3- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
119616bb |
Isogeny class |
Conductor |
119616 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
106496 |
Modular degree for the optimal curve |
Δ |
-16742412288 = -1 · 212 · 38 · 7 · 89 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 0 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,615,-1881] |
[a1,a2,a3,a4,a6] |
Generators |
[21:144:1] |
Generators of the group modulo torsion |
j |
6270219584/4087503 |
j-invariant |
L |
7.3715693671724 |
L(r)(E,1)/r! |
Ω |
0.70510598576764 |
Real period |
R |
1.3068193810656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032449 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119616t1 59808i1 |
Quadratic twists by: -4 8 |