Atkin-Lehner |
2- 5+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
50150be |
Isogeny class |
Conductor |
50150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
136800 |
Modular degree for the optimal curve |
Δ |
-29160881080300 = -1 · 22 · 52 · 175 · 593 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 -4 0 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2720,253327] |
[a1,a2,a3,a4,a6] |
Generators |
[190:4503:8] |
Generators of the group modulo torsion |
j |
89051265354375/1166435243212 |
j-invariant |
L |
9.83424843377 |
L(r)(E,1)/r! |
Ω |
0.49057339475112 |
Real period |
R |
3.3410727592639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50150s1 |
Quadratic twists by: 5 |