Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
49728ez |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
978796224 = 26 · 310 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-264,-774] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:6:1] |
Generators of the group modulo torsion |
j |
31915344448/15293691 |
j-invariant |
L |
6.1827648767915 |
L(r)(E,1)/r! |
Ω |
1.2416290210566 |
Real period |
R |
1.9918235711029 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728de1 24864r2 |
Quadratic twists by: -4 8 |