Atkin-Lehner |
2- 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
88400cc |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
830592 |
Modular degree for the optimal curve |
Δ |
-27312142074880000 = -1 · 213 · 54 · 13 · 177 |
Discriminant |
Eigenvalues |
2- 2 5- 2 3 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-179808,-30345088] |
[a1,a2,a3,a4,a6] |
j |
-251138440675825/10668805498 |
j-invariant |
L |
5.7817426214797 |
L(r)(E,1)/r! |
Ω |
0.11563485187491 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11050p1 88400bc1 |
Quadratic twists by: -4 5 |