Atkin-Lehner |
2- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115600cr |
Isogeny class |
Conductor |
115600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-123584353280000 = -1 · 213 · 54 · 176 |
Discriminant |
Eigenvalues |
2- 1 5- 2 -3 -4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2408,535988] |
[a1,a2,a3,a4,a6] |
Generators |
[134:1624:1] |
Generators of the group modulo torsion |
j |
-25/2 |
j-invariant |
L |
7.1722995572306 |
L(r)(E,1)/r! |
Ω |
0.48433557604571 |
Real period |
R |
3.7021333312184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000054286 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14450l1 115600bq3 400c1 |
Quadratic twists by: -4 5 17 |