Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960bm |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1064448 |
Modular degree for the optimal curve |
Δ |
22982571767250000 = 24 · 33 · 56 · 237 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 0 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-87461,-6746964] |
[a1,a2,a3,a4,a6] |
Generators |
[-377268:2377855:1728] |
Generators of the group modulo torsion |
j |
31238127616/9703125 |
j-invariant |
L |
3.8332745564552 |
L(r)(E,1)/r! |
Ω |
0.28436483510017 |
Real period |
R |
6.7400642173841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000148628 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31740h1 5520v1 |
Quadratic twists by: -4 -23 |