Atkin-Lehner |
2- 5- 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
96560k |
Isogeny class |
Conductor |
96560 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
77184 |
Modular degree for the optimal curve |
Δ |
-656608000 = -1 · 28 · 53 · 172 · 71 |
Discriminant |
Eigenvalues |
2- -2 5- 1 -2 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7485,246775] |
[a1,a2,a3,a4,a6] |
Generators |
[35:170:1] |
Generators of the group modulo torsion |
j |
-181182889517056/2564875 |
j-invariant |
L |
4.2868811493547 |
L(r)(E,1)/r! |
Ω |
1.4763849951152 |
Real period |
R |
0.24196947132279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999732012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24140c1 |
Quadratic twists by: -4 |