Atkin-Lehner |
2- 5- 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
20140f |
Isogeny class |
Conductor |
20140 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1392 |
Modular degree for the optimal curve |
Δ |
-402800 = -1 · 24 · 52 · 19 · 53 |
Discriminant |
Eigenvalues |
2- -1 5- 0 -3 0 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10,25] |
[a1,a2,a3,a4,a6] |
Generators |
[0:5:1] |
Generators of the group modulo torsion |
j |
6243584/25175 |
j-invariant |
L |
3.9911408573695 |
L(r)(E,1)/r! |
Ω |
2.1369631417571 |
Real period |
R |
0.31127824804127 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
80560o1 100700e1 |
Quadratic twists by: -4 5 |