Atkin-Lehner |
2- 3+ 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
62160bp |
Isogeny class |
Conductor |
62160 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-15881149992960 = -1 · 212 · 37 · 5 · 7 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 3 0 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15800,793392] |
[a1,a2,a3,a4,a6] |
Generators |
[82:206:1] |
Generators of the group modulo torsion |
j |
-106503164422201/3877233885 |
j-invariant |
L |
4.9782732742947 |
L(r)(E,1)/r! |
Ω |
0.69300202873836 |
Real period |
R |
3.5918172440435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000674 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3885j1 |
Quadratic twists by: -4 |