Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400gz |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5903156224000000 = 216 · 56 · 78 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- -4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-93100,10290000] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:3675:1] |
Generators of the group modulo torsion |
j |
740772/49 |
j-invariant |
L |
3.7304208756721 |
L(r)(E,1)/r! |
Ω |
0.41811406614523 |
Real period |
R |
2.2305042922392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997164 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
78400u2 19600h2 3136s2 11200bv2 |
Quadratic twists by: -4 8 5 -7 |