Atkin-Lehner |
2- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
83600cq |
Isogeny class |
Conductor |
83600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-5179187200000000 = -1 · 219 · 58 · 113 · 19 |
Discriminant |
Eigenvalues |
2- -2 5- 1 11+ 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65208,-7306412] |
[a1,a2,a3,a4,a6] |
j |
-19165185625/3236992 |
j-invariant |
L |
1.7761546032475 |
L(r)(E,1)/r! |
Ω |
0.14801288187901 |
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 |
10450m1 83600bm1 |
Quadratic twists by: -4 5 |