Atkin-Lehner |
2+ 3- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560ci |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
1078920000 = 26 · 36 · 54 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -5 3 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5628,-162502] |
[a1,a2,a3,a4,a6] |
Generators |
[-57431:2725:1331] |
Generators of the group modulo torsion |
j |
422550360064/23125 |
j-invariant |
L |
5.7974051851214 |
L(r)(E,1)/r! |
Ω |
0.55120412448654 |
Real period |
R |
5.2588550726141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999532853 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106560fk1 1665g1 11840r1 |
Quadratic twists by: -4 8 -3 |