Atkin-Lehner |
2- 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
119700bv |
Isogeny class |
Conductor |
119700 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1128960 |
Modular degree for the optimal curve |
Δ |
-44519263231968000 = -1 · 28 · 321 · 53 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-196320,-34985900] |
[a1,a2,a3,a4,a6] |
Generators |
[20113145:1922143365:2197] |
Generators of the group modulo torsion |
j |
-35870699159552/1908404631 |
j-invariant |
L |
7.4675209646768 |
L(r)(E,1)/r! |
Ω |
0.11305416097383 |
Real period |
R |
8.2565746898521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999625643 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39900ba1 119700ch1 |
Quadratic twists by: -3 5 |