Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400ek |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-154204897280000 = -1 · 221 · 54 · 76 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 3 -4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-393633,94928063] |
[a1,a2,a3,a4,a6] |
Generators |
[9903:4508:27] |
Generators of the group modulo torsion |
j |
-349938025/8 |
j-invariant |
L |
8.050703937672 |
L(r)(E,1)/r! |
Ω |
0.53371181053074 |
Real period |
R |
3.7710913355091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000331 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400kp2 2450p2 78400bp4 1600j2 |
Quadratic twists by: -4 8 5 -7 |