Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50700t |
Isogeny class |
Conductor |
50700 |
Conductor |
∏ cp |
39 |
Product of Tamagawa factors cp |
deg |
730080 |
Modular degree for the optimal curve |
Δ |
8323444801900051200 = 28 · 313 · 52 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 3 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-809228,243122868] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:18252:1] |
Generators of the group modulo torsion |
j |
11225615440/1594323 |
j-invariant |
L |
8.24341248523 |
L(r)(E,1)/r! |
Ω |
0.22358187654043 |
Real period |
R |
0.94537873182792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999924 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50700l1 50700u1 |
Quadratic twists by: 5 13 |