Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
119700bn |
Isogeny class |
Conductor |
119700 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
296352 |
Modular degree for the optimal curve |
Δ |
4562757637200 = 24 · 36 · 52 · 77 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -3 7 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11700,476145] |
[a1,a2,a3,a4,a6] |
Generators |
[34:343:1] |
Generators of the group modulo torsion |
j |
607426560000/15647317 |
j-invariant |
L |
8.1526260237451 |
L(r)(E,1)/r! |
Ω |
0.77177879955269 |
Real period |
R |
0.50302014324137 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000011703 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13300o1 119700bx1 |
Quadratic twists by: -3 5 |