Atkin-Lehner |
3- 5+ 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
14355d |
Isogeny class |
Conductor |
14355 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-300860698915069425 = -1 · 37 · 52 · 11 · 298 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-93015,-28536494] |
[a1,a2,a3,a4,a6] |
Generators |
[755489386640:8883169309817:1593413632] |
Generators of the group modulo torsion |
j |
-122083727651299441/412703290692825 |
j-invariant |
L |
4.9213179837372 |
L(r)(E,1)/r! |
Ω |
0.12569102017864 |
Real period |
R |
19.577046859604 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4785a4 71775bf3 |
Quadratic twists by: -3 5 |