Atkin-Lehner |
3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
119025bu |
Isogeny class |
Conductor |
119025 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
8902656 |
Modular degree for the optimal curve |
Δ |
-1.9508282029087E+21 |
Discriminant |
Eigenvalues |
-2 3- 5+ -1 -4 3 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4562625,4311300406] |
[a1,a2,a3,a4,a6] |
Generators |
[2116:-64274:1] |
Generators of the group modulo torsion |
j |
-11776000/2187 |
j-invariant |
L |
1.9729317721608 |
L(r)(E,1)/r! |
Ω |
0.14185860172664 |
Real period |
R |
0.57948895316043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999743974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39675m1 4761f1 119025bt1 |
Quadratic twists by: -3 5 -23 |