Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34650s |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2654208 |
Modular degree for the optimal curve |
Δ |
641640605760000000 = 212 · 312 · 57 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-64470042,-199227783884] |
[a1,a2,a3,a4,a6] |
Generators |
[6143231269:-1829433435422:68921] |
Generators of the group modulo torsion |
j |
2601656892010848045529/56330588160 |
j-invariant |
L |
3.4456257722164 |
L(r)(E,1)/r! |
Ω |
0.053279490932079 |
Real period |
R |
16.167692821094 |
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 |
11550bk1 6930bl1 |
Quadratic twists by: -3 5 |