Atkin-Lehner |
2- 7+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
57904m |
Isogeny class |
Conductor |
57904 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-868119003136 = -1 · 214 · 7 · 115 · 47 |
Discriminant |
Eigenvalues |
2- 0 1 7+ 11- 0 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,373,-44742] |
[a1,a2,a3,a4,a6] |
Generators |
[53:352:1] [119:1298:1] |
Generators of the group modulo torsion |
j |
1401168159/211943116 |
j-invariant |
L |
10.00293226887 |
L(r)(E,1)/r! |
Ω |
0.41984904096748 |
Real period |
R |
1.1912534378803 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7238f1 |
Quadratic twists by: -4 |