Atkin-Lehner |
3- 13+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
45747c |
Isogeny class |
Conductor |
45747 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-48171591 = -1 · 36 · 132 · 17 · 23 |
Discriminant |
Eigenvalues |
-1 3- -2 0 0 13+ 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,34,316] |
[a1,a2,a3,a4,a6] |
Generators |
[4:20:1] [11:38:1] |
Generators of the group modulo torsion |
j |
6128487/66079 |
j-invariant |
L |
5.5376221863142 |
L(r)(E,1)/r! |
Ω |
1.4804186286743 |
Real period |
R |
3.7405785627495 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5083a1 |
Quadratic twists by: -3 |