Atkin-Lehner |
2- 3- 5- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
45540r |
Isogeny class |
Conductor |
45540 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-6413416819104596400 = -1 · 24 · 316 · 52 · 113 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 0 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1924212,-1034571391] |
[a1,a2,a3,a4,a6] |
Generators |
[1718:27025:1] |
Generators of the group modulo torsion |
j |
-67551493811790659584/549847120979475 |
j-invariant |
L |
6.4783121090561 |
L(r)(E,1)/r! |
Ω |
0.064061235874881 |
Real period |
R |
4.2136194771146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15180d1 |
Quadratic twists by: -3 |