Atkin-Lehner |
2+ 3+ 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850ba |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-3486043401120000 = -1 · 28 · 33 · 54 · 76 · 193 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -3 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,19308,-2651184] |
[a1,a2,a3,a4,a6] |
Generators |
[264:-4692:1] [99:423:1] |
Generators of the group modulo torsion |
j |
47171441582325/206580349696 |
j-invariant |
L |
7.5310374623834 |
L(r)(E,1)/r! |
Ω |
0.22487636612072 |
Real period |
R |
1.3954033187757 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
59850eo2 59850dy1 |
Quadratic twists by: -3 5 |