Atkin-Lehner |
2+ 3+ 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50232g |
Isogeny class |
Conductor |
50232 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
52992 |
Modular degree for the optimal curve |
Δ |
39933234432 = 28 · 32 · 73 · 133 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -3 13- -7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1729,26533] |
[a1,a2,a3,a4,a6] |
Generators |
[13:78:1] [-39:182:1] |
Generators of the group modulo torsion |
j |
2234188874752/155989197 |
j-invariant |
L |
7.3476618642987 |
L(r)(E,1)/r! |
Ω |
1.1260886441193 |
Real period |
R |
0.090624179330215 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100464o1 |
Quadratic twists by: -4 |