Atkin-Lehner |
2+ 3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410bj |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
-1645731982540800 = -1 · 216 · 34 · 52 · 7 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,25407,-1172492] |
[a1,a2,a3,a4,a6] |
Generators |
[164:-2805:1] |
Generators of the group modulo torsion |
j |
1023887723039/928972800 |
j-invariant |
L |
5.4096060382207 |
L(r)(E,1)/r! |
Ω |
0.25984421006051 |
Real period |
R |
1.3011657150647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76230du1 127050fh1 210e1 |
Quadratic twists by: -3 5 -11 |