Atkin-Lehner |
2- 3- 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
127800bu |
Isogeny class |
Conductor |
127800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
106496 |
Modular degree for the optimal curve |
Δ |
-134159328000 = -1 · 28 · 310 · 53 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -2 -7 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,780,-15500] |
[a1,a2,a3,a4,a6] |
Generators |
[20:90:1] |
Generators of the group modulo torsion |
j |
2249728/5751 |
j-invariant |
L |
4.9189775120759 |
L(r)(E,1)/r! |
Ω |
0.5353653527312 |
Real period |
R |
1.1485094867143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000041302 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42600j1 127800bc1 |
Quadratic twists by: -3 5 |