Atkin-Lehner |
3- 5- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73515n |
Isogeny class |
Conductor |
73515 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-18896957235 = -1 · 33 · 5 · 136 · 29 |
Discriminant |
Eigenvalues |
0 3- 5- -2 -3 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1915,32296] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:253:1] |
Generators of the group modulo torsion |
j |
-160989184/3915 |
j-invariant |
L |
5.4882944363752 |
L(r)(E,1)/r! |
Ω |
1.2205670185614 |
Real period |
R |
0.74941869272851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995416 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
435a1 |
Quadratic twists by: 13 |