Atkin-Lehner |
2- 3- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
76752bp |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
733824 |
Modular degree for the optimal curve |
Δ |
-136844847825813504 = -1 · 233 · 36 · 13 · 412 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 6 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-78363,-19699254] |
[a1,a2,a3,a4,a6] |
Generators |
[517253:3889342:1331] |
Generators of the group modulo torsion |
j |
-17822531769561/45829062656 |
j-invariant |
L |
4.5792587741272 |
L(r)(E,1)/r! |
Ω |
0.13274002630893 |
Real period |
R |
8.6244874678871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001253 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9594q1 8528i1 |
Quadratic twists by: -4 -3 |