Atkin-Lehner |
2- 5- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50050cg |
Isogeny class |
Conductor |
50050 |
Conductor |
∏ cp |
210 |
Product of Tamagawa factors cp |
deg |
18547200 |
Modular degree for the optimal curve |
Δ |
-1.3736814690959E+24 |
Discriminant |
Eigenvalues |
2- -3 5- 7- 11- 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-39888930,112181873697] |
[a1,a2,a3,a4,a6] |
Generators |
[2369:-177185:1] |
Generators of the group modulo torsion |
j |
-3593774502791903259549/703324912177119232 |
j-invariant |
L |
5.4324274920871 |
L(r)(E,1)/r! |
Ω |
0.082019680775778 |
Real period |
R |
0.31539628170778 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998966 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50050ba1 |
Quadratic twists by: 5 |