Atkin-Lehner |
2+ 3- 5- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
53010v |
Isogeny class |
Conductor |
53010 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
12718080 |
Modular degree for the optimal curve |
Δ |
-2.4546954176379E+25 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-97517034,-440663872460] |
[a1,a2,a3,a4,a6] |
j |
-140681709585073475488230049/33672090776925775000000 |
j-invariant |
L |
1.1386191927516 |
L(r)(E,1)/r! |
Ω |
0.023721233198208 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5890g1 |
Quadratic twists by: -3 |