Atkin-Lehner |
2- 3+ 7+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
128478bv |
Isogeny class |
Conductor |
128478 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25111296 |
Modular degree for the optimal curve |
Δ |
-8.2762072223751E+21 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 5 -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-80843092,-279845228293] |
[a1,a2,a3,a4,a6] |
Generators |
[49143699115851263755370:3383755409077698134620643:3833786636697841208] |
Generators of the group modulo torsion |
j |
-10136035877863224285313/1435644911658726 |
j-invariant |
L |
6.6423144159995 |
L(r)(E,1)/r! |
Ω |
0.025174168784431 |
Real period |
R |
32.981796106549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128478cj1 |
Quadratic twists by: -7 |