Atkin-Lehner |
2+ 3+ 5- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45150u |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
4970112000000000 = 216 · 3 · 59 · 7 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -2 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-90450,-9943500] |
[a1,a2,a3,a4,a6] |
Generators |
[45220:252462:125] |
Generators of the group modulo torsion |
j |
41901241310837/2544697344 |
j-invariant |
L |
3.7174244666884 |
L(r)(E,1)/r! |
Ω |
0.27634009497663 |
Real period |
R |
6.7261764294536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45150de1 |
Quadratic twists by: 5 |