Atkin-Lehner |
31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
50933a |
Isogeny class |
Conductor |
50933 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-47037695093 = -1 · 316 · 53 |
Discriminant |
Eigenvalues |
-1 3 0 -4 0 3 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,300,-10316] |
[a1,a2,a3,a4,a6] |
Generators |
[867:4358:27] |
Generators of the group modulo torsion |
j |
3375/53 |
j-invariant |
L |
5.8208345840488 |
L(r)(E,1)/r! |
Ω |
0.55339650521947 |
Real period |
R |
2.6295949329033 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53a1 |
Quadratic twists by: -31 |