Atkin-Lehner |
2- 3- 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
100464cf |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
38766643249152 = 228 · 3 · 7 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-49504,-4245388] |
[a1,a2,a3,a4,a6] |
Generators |
[-516464:361845:4096] |
Generators of the group modulo torsion |
j |
3275619238041697/9464512512 |
j-invariant |
L |
6.2063908896925 |
L(r)(E,1)/r! |
Ω |
0.32012101057034 |
Real period |
R |
9.6938199456378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024368 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12558m1 |
Quadratic twists by: -4 |