Atkin-Lehner |
2- 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125120bz |
Isogeny class |
Conductor |
125120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
35328 |
Modular degree for the optimal curve |
Δ |
-200192000 = -1 · 212 · 53 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 1 5+ 0 -3 6 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,119,-425] |
[a1,a2,a3,a4,a6] |
Generators |
[69:584:1] |
Generators of the group modulo torsion |
j |
45118016/48875 |
j-invariant |
L |
6.9982001503274 |
L(r)(E,1)/r! |
Ω |
0.96539850812389 |
Real period |
R |
3.6245135996733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000152509 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125120ch1 62560h1 |
Quadratic twists by: -4 8 |