Atkin-Lehner |
2- 3- 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
100464cf |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
21869384055128064 = 220 · 32 · 72 · 132 · 234 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-69984,-419724] |
[a1,a2,a3,a4,a6] |
Generators |
[-181:2520:1] |
Generators of the group modulo torsion |
j |
9254783291566177/5339205091584 |
j-invariant |
L |
6.2063908896925 |
L(r)(E,1)/r! |
Ω |
0.32012101057034 |
Real period |
R |
4.8469099728189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024368 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12558m2 |
Quadratic twists by: -4 |