Atkin-Lehner |
2- 3- 5- 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
119850ct |
Isogeny class |
Conductor |
119850 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-14138081280000 = -1 · 220 · 33 · 54 · 17 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 3 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2262,176292] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:390:1] |
Generators of the group modulo torsion |
j |
2047903540175/22620930048 |
j-invariant |
L |
13.01634307697 |
L(r)(E,1)/r! |
Ω |
0.51883243721536 |
Real period |
R |
0.41812931416413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006632 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119850g1 |
Quadratic twists by: 5 |