Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960bv |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-18721013760000 = -1 · 221 · 33 · 54 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 -3 -4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4240,177600] |
[a1,a2,a3,a4,a6] |
Generators |
[40:-640:1] [10:470:1] |
Generators of the group modulo torsion |
j |
3889584671/8640000 |
j-invariant |
L |
10.451349637666 |
L(r)(E,1)/r! |
Ω |
0.47785371900319 |
Real period |
R |
1.3669650907817 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999641 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15870bl1 126960bb1 |
Quadratic twists by: -4 -23 |