Atkin-Lehner |
13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
48373c |
Isogeny class |
Conductor |
48373 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
178560 |
Modular degree for the optimal curve |
Δ |
40855656868273 = 13 · 617 |
Discriminant |
Eigenvalues |
-1 0 2 4 -4 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-60234,-5666560] |
[a1,a2,a3,a4,a6] |
Generators |
[1483916047451176944:-32276535190509456736:2583590982797313] |
Generators of the group modulo torsion |
j |
469097433/793 |
j-invariant |
L |
4.6070249419314 |
L(r)(E,1)/r! |
Ω |
0.30477812223924 |
Real period |
R |
30.23199242814 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
793a1 |
Quadratic twists by: 61 |