Atkin-Lehner |
2+ 5- 31- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
94550i |
Isogeny class |
Conductor |
94550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1048320 |
Modular degree for the optimal curve |
Δ |
-225165152000000000 = -1 · 214 · 59 · 31 · 613 |
Discriminant |
Eigenvalues |
2+ -1 5- -1 4 1 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-164575,-34442875] |
[a1,a2,a3,a4,a6] |
Generators |
[4185230:101483385:4913] |
Generators of the group modulo torsion |
j |
-252400021546373/115284557824 |
j-invariant |
L |
3.6323583017344 |
L(r)(E,1)/r! |
Ω |
0.11596272125615 |
Real period |
R |
7.830875012187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999912301 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94550t1 |
Quadratic twists by: 5 |