Atkin-Lehner |
2+ 5- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
114950bp |
Isogeny class |
Conductor |
114950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-3601852790272000 = -1 · 212 · 53 · 117 · 192 |
Discriminant |
Eigenvalues |
2+ -2 5- 4 11- 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,37144,866358] |
[a1,a2,a3,a4,a6] |
Generators |
[41:1547:1] |
Generators of the group modulo torsion |
j |
25594132123/16265216 |
j-invariant |
L |
3.6834160908472 |
L(r)(E,1)/r! |
Ω |
0.27604496992353 |
Real period |
R |
3.3358839878603 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000299879 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114950dk1 10450bg1 |
Quadratic twists by: 5 -11 |