Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
59290bf |
Isogeny class |
Conductor |
59290 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
40608 |
Modular degree for the optimal curve |
Δ |
-2324168000 = -1 · 26 · 53 · 74 · 112 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 11- 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-663,6906] |
[a1,a2,a3,a4,a6] |
Generators |
[15:12:1] |
Generators of the group modulo torsion |
j |
-110699281/8000 |
j-invariant |
L |
5.8619372720035 |
L(r)(E,1)/r! |
Ω |
1.4298192584498 |
Real period |
R |
0.68329583589014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995869 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59290t1 59290dr1 |
Quadratic twists by: -7 -11 |