Atkin-Lehner |
2- 3- 5+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
34980l |
Isogeny class |
Conductor |
34980 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
1257120 |
Modular degree for the optimal curve |
Δ |
181089521551818000 = 24 · 39 · 53 · 11 · 535 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11+ 1 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17231626,-27537720751] |
[a1,a2,a3,a4,a6] |
Generators |
[-2398:3:1] |
Generators of the group modulo torsion |
j |
35365722485308805814640384/11318095096988625 |
j-invariant |
L |
6.7273637339842 |
L(r)(E,1)/r! |
Ω |
0.074099963817288 |
Real period |
R |
3.3625066321429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104940bk1 |
Quadratic twists by: -3 |