Atkin-Lehner |
2+ 3- 5- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
74550br |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
40257000000000 = 29 · 34 · 59 · 7 · 71 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -5 1 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8576,14798] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:586:1] |
Generators of the group modulo torsion |
j |
35708794757/20611584 |
j-invariant |
L |
5.3879691302333 |
L(r)(E,1)/r! |
Ω |
0.54869975960666 |
Real period |
R |
1.2274401970548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000332 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74550cr1 |
Quadratic twists by: 5 |