Atkin-Lehner |
2- 5- 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
66650s |
Isogeny class |
Conductor |
66650 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
681600 |
Modular degree for the optimal curve |
Δ |
-41068347012500000 = -1 · 25 · 58 · 312 · 434 |
Discriminant |
Eigenvalues |
2- -1 5- -4 3 4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,51987,8638531] |
[a1,a2,a3,a4,a6] |
Generators |
[-115:1132:1] |
Generators of the group modulo torsion |
j |
39778410446735/105134968352 |
j-invariant |
L |
7.2395474460031 |
L(r)(E,1)/r! |
Ω |
0.25384868588004 |
Real period |
R |
0.23765954053819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995943 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66650d1 |
Quadratic twists by: 5 |