Atkin-Lehner |
2+ 5+ 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
78200d |
Isogeny class |
Conductor |
78200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-17506852960000000 = -1 · 211 · 57 · 17 · 235 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 -2 3 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-54008,7973488] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:3150:1] |
Generators of the group modulo torsion |
j |
-544447565282/547089155 |
j-invariant |
L |
2.9511529182504 |
L(r)(E,1)/r! |
Ω |
0.35419481442612 |
Real period |
R |
4.1660024364621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948747 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15640j1 |
Quadratic twists by: 5 |