Atkin-Lehner |
2- 3- 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
73260i |
Isogeny class |
Conductor |
73260 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-50018562618750000 = -1 · 24 · 312 · 58 · 11 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -2 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5448,10761397] |
[a1,a2,a3,a4,a6] |
Generators |
[-181:2412:1] |
Generators of the group modulo torsion |
j |
-1533160062976/4288285546875 |
j-invariant |
L |
5.5407365146364 |
L(r)(E,1)/r! |
Ω |
0.28635295192483 |
Real period |
R |
4.8373314098462 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000079 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24420r1 |
Quadratic twists by: -3 |