Atkin-Lehner |
2- 5- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
75440v |
Isogeny class |
Conductor |
75440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
1388096000000 = 212 · 56 · 232 · 41 |
Discriminant |
Eigenvalues |
2- 0 5- -2 0 4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15347,729586] |
[a1,a2,a3,a4,a6] |
Generators |
[57:-200:1] [-18:1000:1] |
Generators of the group modulo torsion |
j |
97596500046921/338890625 |
j-invariant |
L |
10.702150153233 |
L(r)(E,1)/r! |
Ω |
0.85817058519525 |
Real period |
R |
1.0392407541042 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999376 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4715b1 |
Quadratic twists by: -4 |