Atkin-Lehner |
2+ 3- 7+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
47502j |
Isogeny class |
Conductor |
47502 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
14745600 |
Modular degree for the optimal curve |
Δ |
-9.0029875606241E+25 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,31934394,-451203914700] |
[a1,a2,a3,a4,a6] |
Generators |
[30753353540566527965492154506888700:4000921009528129436846721806883249410:1835205671717497168656171010281] |
Generators of the group modulo torsion |
j |
4940514904764290195189663/123497771750673547788288 |
j-invariant |
L |
5.4761390639923 |
L(r)(E,1)/r! |
Ω |
0.029216746476915 |
Real period |
R |
46.857878822283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15834q1 |
Quadratic twists by: -3 |