Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400hk |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-302241598668800 = -1 · 221 · 52 · 78 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 3 -2 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,14047,542303] |
[a1,a2,a3,a4,a6] |
Generators |
[167:2752:1] |
Generators of the group modulo torsion |
j |
397535/392 |
j-invariant |
L |
8.4391891650421 |
L(r)(E,1)/r! |
Ω |
0.35904358205489 |
Real period |
R |
2.9380796618062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999951912 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400bu1 19600ck1 78400kn1 11200cm1 |
Quadratic twists by: -4 8 5 -7 |