Atkin-Lehner |
2- 3+ 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
62160bz |
Isogeny class |
Conductor |
62160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-15912960 = -1 · 212 · 3 · 5 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -5 4 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,0,192] |
[a1,a2,a3,a4,a6] |
Generators |
[2:14:1] |
Generators of the group modulo torsion |
j |
-1/3885 |
j-invariant |
L |
5.3846489537628 |
L(r)(E,1)/r! |
Ω |
1.7532714192117 |
Real period |
R |
1.5356005049893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000582 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3885i1 |
Quadratic twists by: -4 |