Atkin-Lehner |
2+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78650be |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360000 |
Modular degree for the optimal curve |
Δ |
-4.0743933121604E+24 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,37115174,43096273548] |
[a1,a2,a3,a4,a6] |
Generators |
[43912819029:10991114152873:704969] |
Generators of the group modulo torsion |
j |
1634150614962403/1177543068416 |
j-invariant |
L |
3.2006187552461 |
L(r)(E,1)/r! |
Ω |
0.049652914060321 |
Real period |
R |
16.11495928344 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005315 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78650di1 7150w1 |
Quadratic twists by: 5 -11 |