Atkin-Lehner |
2+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
128576bw |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
486237075014656 = 210 · 710 · 412 |
Discriminant |
Eigenvalues |
2+ -3 3 7- -1 -2 7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-182476,-29983688] |
[a1,a2,a3,a4,a6] |
Generators |
[-41294605:21645637:166375] |
Generators of the group modulo torsion |
j |
2323060992/1681 |
j-invariant |
L |
5.7629764476931 |
L(r)(E,1)/r! |
Ω |
0.23100266005666 |
Real period |
R |
12.473831529143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998595031 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128576de1 16072f1 128576h1 |
Quadratic twists by: -4 8 -7 |