Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
104400fa |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
493177248000000000 = 214 · 312 · 59 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-207075,13185250] |
[a1,a2,a3,a4,a6] |
j |
21047437081/10570500 |
j-invariant |
L |
2.0852011567903 |
L(r)(E,1)/r! |
Ω |
0.26065013036443 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13050o1 34800db1 20880cd1 |
Quadratic twists by: -4 -3 5 |