Atkin-Lehner |
2- 3+ 5- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
127920bj |
Isogeny class |
Conductor |
127920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
-2752848633600000000 = -1 · 214 · 39 · 58 · 13 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 4 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-188040,-85712400] |
[a1,a2,a3,a4,a6] |
Generators |
[1220:38720:1] |
Generators of the group modulo torsion |
j |
-179521637622343561/672082185937500 |
j-invariant |
L |
7.0460863479954 |
L(r)(E,1)/r! |
Ω |
0.10492426931166 |
Real period |
R |
4.1971260773387 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000224261 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15990j1 |
Quadratic twists by: -4 |