Atkin-Lehner |
3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50715l |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
5376000 |
Modular degree for the optimal curve |
Δ |
-2.7617700198737E+24 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 3 0 -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-43505238,136352087793] |
[a1,a2,a3,a4,a6] |
Generators |
[6671:378157:1] |
Generators of the group modulo torsion |
j |
-106177523183250079744/32201176731237675 |
j-invariant |
L |
4.2264811303161 |
L(r)(E,1)/r! |
Ω |
0.07639234538383 |
Real period |
R |
1.728936775768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000083 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16905bb1 7245r1 |
Quadratic twists by: -3 -7 |