Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400id |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-1033052339200 = -1 · 210 · 52 · 79 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -1 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11433,476897] |
[a1,a2,a3,a4,a6] |
Generators |
[48312:55909:729] |
Generators of the group modulo torsion |
j |
-160000 |
j-invariant |
L |
9.1119075425522 |
L(r)(E,1)/r! |
Ω |
0.88053184961362 |
Real period |
R |
5.1740931055484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977489 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400cr1 19600cv1 78400kx1 78400im1 |
Quadratic twists by: -4 8 5 -7 |