Atkin-Lehner |
2- 3+ 43- 61- |
Signs for the Atkin-Lehner involutions |
Class |
125904i |
Isogeny class |
Conductor |
125904 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1140480 |
Modular degree for the optimal curve |
Δ |
-430192787248644096 = -1 · 218 · 3 · 435 · 612 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 1 5 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-83360,-32860416] |
[a1,a2,a3,a4,a6] |
j |
-15640192421281441/105027535949376 |
j-invariant |
L |
2.4987605086817 |
L(r)(E,1)/r! |
Ω |
0.12493806756382 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15738i1 |
Quadratic twists by: -4 |