Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50700x |
Isogeny class |
Conductor |
50700 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
10782720 |
Modular degree for the optimal curve |
Δ |
-1.9781186787016E+26 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 2 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-89491133,751020274863] |
[a1,a2,a3,a4,a6] |
Generators |
[24538:3651075:1] |
Generators of the group modulo torsion |
j |
-143737544704/358722675 |
j-invariant |
L |
7.5096500783296 |
L(r)(E,1)/r! |
Ω |
0.049990067420704 |
Real period |
R |
5.0074281190794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10140g1 50700v1 |
Quadratic twists by: 5 13 |