Atkin-Lehner |
2- 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
73346v |
Isogeny class |
Conductor |
73346 |
Conductor |
∏ cp |
270 |
Product of Tamagawa factors cp |
deg |
2462400 |
Modular degree for the optimal curve |
Δ |
-5814221158196412416 = -1 · 215 · 7 · 134 · 316 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 0 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5521487,-4995619591] |
[a1,a2,a3,a4,a6] |
j |
-651806173880333801953/203572044333056 |
j-invariant |
L |
1.4772998854274 |
L(r)(E,1)/r! |
Ω |
0.049243329396648 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
73346c1 |
Quadratic twists by: 13 |