Atkin-Lehner |
3- 5+ 43+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
90945c |
Isogeny class |
Conductor |
90945 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
365568 |
Modular degree for the optimal curve |
Δ |
-133633730390625 = -1 · 39 · 57 · 432 · 47 |
Discriminant |
Eigenvalues |
1 3- 5+ -5 2 -1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-32580,-2322675] |
[a1,a2,a3,a4,a6] |
Generators |
[1926:14517:8] [316:4185:1] |
Generators of the group modulo torsion |
j |
-5246345911510081/183311015625 |
j-invariant |
L |
10.775926627071 |
L(r)(E,1)/r! |
Ω |
0.17731283924547 |
Real period |
R |
15.193381755684 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997298 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30315c1 |
Quadratic twists by: -3 |