Atkin-Lehner |
2+ 7- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
48314k |
Isogeny class |
Conductor |
48314 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1416960 |
Modular degree for the optimal curve |
Δ |
-7.5277487066427E+19 |
Discriminant |
Eigenvalues |
2+ 0 -3 7- 3 0 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,921289,241444573] |
[a1,a2,a3,a4,a6] |
Generators |
[-195382:13607579:1331] |
Generators of the group modulo torsion |
j |
735060125338815303/639848082571264 |
j-invariant |
L |
3.3815368192607 |
L(r)(E,1)/r! |
Ω |
0.12596509382657 |
Real period |
R |
6.7112576915817 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6902a1 |
Quadratic twists by: -7 |