Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800jy |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
33088781250000 = 24 · 32 · 59 · 76 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 0 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16333,748838] |
[a1,a2,a3,a4,a6] |
Generators |
[-36106:393000:343] |
Generators of the group modulo torsion |
j |
131072/9 |
j-invariant |
L |
7.9789062535411 |
L(r)(E,1)/r! |
Ω |
0.64349317460596 |
Real period |
R |
6.1996821166354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999726 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14700v1 58800hh1 1200n1 |
Quadratic twists by: -4 5 -7 |