Atkin-Lehner |
2- 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
119700cg |
Isogeny class |
Conductor |
119700 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
-117604962720000 = -1 · 28 · 37 · 54 · 72 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -1 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20775,1265150] |
[a1,a2,a3,a4,a6] |
Generators |
[79:-342:1] [-130:1330:1] |
Generators of the group modulo torsion |
j |
-8501573200/1008273 |
j-invariant |
L |
12.48844479903 |
L(r)(E,1)/r! |
Ω |
0.57351312373102 |
Real period |
R |
0.10081177168466 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999968622 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39900o1 119700r1 |
Quadratic twists by: -3 5 |