Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400ip |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1033052339200 = -1 · 210 · 52 · 79 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 3 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19273,-1037457] |
[a1,a2,a3,a4,a6] |
Generators |
[15092226:225163869:50653] |
Generators of the group modulo torsion |
j |
-262885120/343 |
j-invariant |
L |
4.5426638510285 |
L(r)(E,1)/r! |
Ω |
0.202579912913 |
Real period |
R |
11.212029329006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400ci2 19600cs2 78400ks2 11200cp2 |
Quadratic twists by: -4 8 5 -7 |