Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
119952ga |
Isogeny class |
Conductor |
119952 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-81267881441918976 = -1 · 215 · 311 · 77 · 17 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 3 3 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-264747,54196058] |
[a1,a2,a3,a4,a6] |
Generators |
[-497:7938:1] |
Generators of the group modulo torsion |
j |
-5841725401/231336 |
j-invariant |
L |
8.7853562995567 |
L(r)(E,1)/r! |
Ω |
0.33972692201041 |
Real period |
R |
1.6162533206766 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000005281 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14994cu1 39984bl1 17136bk1 |
Quadratic twists by: -4 -3 -7 |