Atkin-Lehner |
5+ 31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
47275c |
Isogeny class |
Conductor |
47275 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
77760 |
Modular degree for the optimal curve |
Δ |
-880230953125 = -1 · 56 · 314 · 61 |
Discriminant |
Eigenvalues |
-1 -2 5+ -3 -3 -5 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2262,-17783] |
[a1,a2,a3,a4,a6] |
Generators |
[51:-506:1] |
Generators of the group modulo torsion |
j |
81916141607/56334781 |
j-invariant |
L |
0.98065469804794 |
L(r)(E,1)/r! |
Ω |
0.50233833989904 |
Real period |
R |
0.97608983842349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999589 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1891a1 |
Quadratic twists by: 5 |