Atkin-Lehner |
3+ 5- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
58305g |
Isogeny class |
Conductor |
58305 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-3122342071875 = -1 · 32 · 55 · 136 · 23 |
Discriminant |
Eigenvalues |
0 3+ 5- -1 -4 13+ 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-123595,-16683444] |
[a1,a2,a3,a4,a6] |
Generators |
[490:6337:1] |
Generators of the group modulo torsion |
j |
-43258336804864/646875 |
j-invariant |
L |
3.8064474838527 |
L(r)(E,1)/r! |
Ω |
0.12731179783372 |
Real period |
R |
1.4949311645876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995443 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
345a1 |
Quadratic twists by: 13 |