Atkin-Lehner |
2- 3+ 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
119280bv |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
371008512000 = 213 · 36 · 53 · 7 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -1 -1 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4600,118000] |
[a1,a2,a3,a4,a6] |
Generators |
[10:270:1] |
Generators of the group modulo torsion |
j |
2628643361401/90578250 |
j-invariant |
L |
7.2193829001842 |
L(r)(E,1)/r! |
Ω |
0.94764381992401 |
Real period |
R |
0.63485375303106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000100838 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14910u1 |
Quadratic twists by: -4 |