Atkin-Lehner |
2+ 3+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
31584i |
Isogeny class |
Conductor |
31584 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-198094848 = -1 · 212 · 3 · 73 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- -3 2 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,35,661] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-28:1] |
Generators of the group modulo torsion |
j |
1124864/48363 |
j-invariant |
L |
2.7073431250373 |
L(r)(E,1)/r! |
Ω |
1.3541973468064 |
Real period |
R |
0.33320391244084 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31584y1 63168bt1 94752bh1 |
Quadratic twists by: -4 8 -3 |