Atkin-Lehner |
2- 3- 5- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
55650dl |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
2340 |
Product of Tamagawa factors cp |
deg |
3744000 |
Modular degree for the optimal curve |
Δ |
-5.8430126799072E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -1 4 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4954513,5615919017] |
[a1,a2,a3,a4,a6] |
Generators |
[1802:49499:1] |
Generators of the group modulo torsion |
j |
-34432344889796267185/14958112460562432 |
j-invariant |
L |
12.284860369225 |
L(r)(E,1)/r! |
Ω |
0.1261836475313 |
Real period |
R |
0.041605552157056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999956 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55650f1 |
Quadratic twists by: 5 |