Atkin-Lehner |
2- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
78400jm |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-188900999168000 = -1 · 218 · 53 · 78 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 0 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-652548353,-6416258962177] |
[a1,a2,a3,a4,a6] |
Generators |
[86320950756563:16426994553813088:1680914269] |
Generators of the group modulo torsion |
j |
-162677523113838677 |
j-invariant |
L |
7.3792887289988 |
L(r)(E,1)/r! |
Ω |
0.014935383703168 |
Real period |
R |
20.586706697268 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400ds2 19600dh2 78400jn2 78400kk2 |
Quadratic twists by: -4 8 5 -7 |