Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
25168bl |
Isogeny class |
Conductor |
25168 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
1975292627494371328 = 222 · 118 · 133 |
Discriminant |
Eigenvalues |
2- -1 0 -2 11- 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2358088,-1391333392] |
[a1,a2,a3,a4,a6] |
j |
1651590939625/2249728 |
j-invariant |
L |
1.4620974128347 |
L(r)(E,1)/r! |
Ω |
0.12184145106956 |
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 |
3146f1 100672cl1 25168x1 |
Quadratic twists by: -4 8 -11 |