Atkin-Lehner |
2+ 3- 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310n |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12616540560 = 24 · 38 · 5 · 13 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-830718720,9215924252080] |
[a1,a2,a3,a4,a6] |
Generators |
[495744963:-247787596:29791] |
Generators of the group modulo torsion |
j |
86967738309434806772407480321/17306640 |
j-invariant |
L |
3.577559753545 |
L(r)(E,1)/r! |
Ω |
0.22364260010038 |
Real period |
R |
7.9983861803321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999709078 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770z5 |
Quadratic twists by: -3 |