Atkin-Lehner |
2- 3+ 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
47400v |
Isogeny class |
Conductor |
47400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
52800 |
Modular degree for the optimal curve |
Δ |
119981250000 = 24 · 35 · 58 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 -4 3 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1583,-17088] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:6:1] |
Generators of the group modulo torsion |
j |
70236160/19197 |
j-invariant |
L |
5.4298161775837 |
L(r)(E,1)/r! |
Ω |
0.77238381601463 |
Real period |
R |
3.5149727797368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999677 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94800ba1 47400f1 |
Quadratic twists by: -4 5 |