Atkin-Lehner |
2- 3- 5- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88740n |
Isogeny class |
Conductor |
88740 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
298021336722000 = 24 · 36 · 53 · 172 · 294 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 4 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-105852,-13229471] |
[a1,a2,a3,a4,a6] |
Generators |
[-190:153:1] |
Generators of the group modulo torsion |
j |
11245361097293824/25550526125 |
j-invariant |
L |
7.1312098325366 |
L(r)(E,1)/r! |
Ω |
0.26471836907279 |
Real period |
R |
1.4966030712919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999961654 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9860b1 |
Quadratic twists by: -3 |