Atkin-Lehner |
2- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
74800bn |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-2262700000000 = -1 · 28 · 58 · 113 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ -1 11+ 4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6533,-217937] |
[a1,a2,a3,a4,a6] |
Generators |
[243:3550:1] |
Generators of the group modulo torsion |
j |
-7710244864/565675 |
j-invariant |
L |
3.5632197221779 |
L(r)(E,1)/r! |
Ω |
0.26439738010166 |
Real period |
R |
3.3691897024067 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001826 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18700h1 14960d1 |
Quadratic twists by: -4 5 |