Atkin-Lehner |
2- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200cv |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-2476460000000 = -1 · 28 · 57 · 73 · 192 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- -3 3 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3533,111937] |
[a1,a2,a3,a4,a6] |
Generators |
[53:266:1] [-3:350:1] |
Generators of the group modulo torsion |
j |
-1219600384/619115 |
j-invariant |
L |
8.3651916548541 |
L(r)(E,1)/r! |
Ω |
0.75834781177219 |
Real period |
R |
0.22980856994306 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13300a1 10640n1 |
Quadratic twists by: -4 5 |