Atkin-Lehner |
2- 3- 7- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
119196m |
Isogeny class |
Conductor |
119196 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
64800 |
Modular degree for the optimal curve |
Δ |
-4672959984 = -1 · 24 · 36 · 7 · 113 · 43 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11+ 2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-201,-3467] |
[a1,a2,a3,a4,a6] |
Generators |
[3703757940:143695695403:2460375] |
Generators of the group modulo torsion |
j |
-76995328/400631 |
j-invariant |
L |
9.7874090833535 |
L(r)(E,1)/r! |
Ω |
0.57121891477771 |
Real period |
R |
17.134252362592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044206 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13244e1 |
Quadratic twists by: -3 |