Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
49980y |
Isogeny class |
Conductor |
49980 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
622080 |
Modular degree for the optimal curve |
Δ |
-784160330431968000 = -1 · 28 · 36 · 53 · 711 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 -1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-86501,43686999] |
[a1,a2,a3,a4,a6] |
Generators |
[-110:7203:1] |
Generators of the group modulo torsion |
j |
-2376642789376/26036143875 |
j-invariant |
L |
6.2316367761285 |
L(r)(E,1)/r! |
Ω |
0.24121527836341 |
Real period |
R |
1.0764307058064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999491 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7140e1 |
Quadratic twists by: -7 |