Atkin-Lehner |
2- 3- 5+ 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
34980o |
Isogeny class |
Conductor |
34980 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
997920 |
Modular degree for the optimal curve |
Δ |
20121057950202000 = 24 · 37 · 53 · 11 · 535 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- -3 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8108826,8884906965] |
[a1,a2,a3,a4,a6] |
j |
3685341410717406003261184/1257566121887625 |
j-invariant |
L |
2.1727204905629 |
L(r)(E,1)/r! |
Ω |
0.31038864150778 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104940bf1 |
Quadratic twists by: -3 |