Atkin-Lehner |
5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
11725a |
Isogeny class |
Conductor |
11725 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
19584 |
Modular degree for the optimal curve |
Δ |
-120291171875 = -1 · 57 · 73 · 672 |
Discriminant |
Eigenvalues |
0 3 5+ 7- -5 -1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6550,-204719] |
[a1,a2,a3,a4,a6] |
j |
-1988967038976/7698635 |
j-invariant |
L |
3.1833901315832 |
L(r)(E,1)/r! |
Ω |
0.26528251096527 |
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 |
105525t1 2345b1 82075c1 |
Quadratic twists by: -3 5 -7 |