Atkin-Lehner |
2- 3+ 31+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
19716b |
Isogeny class |
Conductor |
19716 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-3637838592 = -1 · 28 · 32 · 313 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 0 5 4 -2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4573,120601] |
[a1,a2,a3,a4,a6] |
Generators |
[40:9:1] |
Generators of the group modulo torsion |
j |
-41322093568000/14210307 |
j-invariant |
L |
5.3494307099935 |
L(r)(E,1)/r! |
Ω |
1.3751457081966 |
Real period |
R |
1.9450414156507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78864t1 59148c1 |
Quadratic twists by: -4 -3 |