Atkin-Lehner |
3+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
126075k |
Isogeny class |
Conductor |
126075 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9072000 |
Modular degree for the optimal curve |
Δ |
-6.9862774094275E+19 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 2 3 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-27229398,54700209668] |
[a1,a2,a3,a4,a6] |
Generators |
[4927174:295446145:2744] |
Generators of the group modulo torsion |
j |
-18801595227320320/588305187 |
j-invariant |
L |
3.3832888384849 |
L(r)(E,1)/r! |
Ω |
0.18176184430065 |
Real period |
R |
9.3069283602185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997382142 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126075bd2 3075l1 |
Quadratic twists by: 5 41 |