Atkin-Lehner |
2- 3- 5- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
33060s |
Isogeny class |
Conductor |
33060 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
862866000 = 24 · 33 · 53 · 19 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21365,1194900] |
[a1,a2,a3,a4,a6] |
Generators |
[253:3471:1] |
Generators of the group modulo torsion |
j |
67411307099324416/53929125 |
j-invariant |
L |
8.1715075403749 |
L(r)(E,1)/r! |
Ω |
1.3164423147256 |
Real period |
R |
4.1381772924237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
99180n1 |
Quadratic twists by: -3 |