Atkin-Lehner |
2+ 5+ 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
75650c |
Isogeny class |
Conductor |
75650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
756480 |
Modular degree for the optimal curve |
Δ |
-502363281250 = -1 · 2 · 510 · 172 · 89 |
Discriminant |
Eigenvalues |
2+ -2 5+ -1 3 -6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-963451,363912048] |
[a1,a2,a3,a4,a6] |
Generators |
[566:-258:1] |
Generators of the group modulo torsion |
j |
-10127725371941425/51442 |
j-invariant |
L |
1.8065786447918 |
L(r)(E,1)/r! |
Ω |
0.63071515585294 |
Real period |
R |
1.4321668249299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002245 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75650bg1 |
Quadratic twists by: 5 |