Atkin-Lehner |
2+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
78400n |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2458624000000000 = -1 · 219 · 59 · 74 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ -3 5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-785633,-268299137] |
[a1,a2,a3,a4,a6] |
Generators |
[34401:764000:27] |
Generators of the group modulo torsion |
j |
-5452947409/250 |
j-invariant |
L |
3.7350166388989 |
L(r)(E,1)/r! |
Ω |
0.080179508365006 |
Real period |
R |
5.8228977625764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999849 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400gk2 2450b2 15680bj2 78400cj2 |
Quadratic twists by: -4 8 5 -7 |