Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400kp |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-385512243200000000 = -1 · 223 · 58 · 76 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -3 -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-236833,53561537] |
[a1,a2,a3,a4,a6] |
Generators |
[317:3200:1] [-233:9800:1] |
Generators of the group modulo torsion |
j |
-121945/32 |
j-invariant |
L |
8.430068012676 |
L(r)(E,1)/r! |
Ω |
0.28590203793747 |
Real period |
R |
1.2285775799069 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400ek3 19600dt3 78400hm1 1600v3 |
Quadratic twists by: -4 8 5 -7 |