Atkin-Lehner |
2+ 3+ 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
45150l |
Isogeny class |
Conductor |
45150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
65664 |
Modular degree for the optimal curve |
Δ |
667858800 = 24 · 3 · 52 · 7 · 433 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -1 2 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10440,-414960] |
[a1,a2,a3,a4,a6] |
j |
5034428721544945/26714352 |
j-invariant |
L |
0.94460262379678 |
L(r)(E,1)/r! |
Ω |
0.47230131185888 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45150dd1 |
Quadratic twists by: 5 |