Atkin-Lehner |
2+ 3- 37- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
59496b |
Isogeny class |
Conductor |
59496 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
23808 |
Modular degree for the optimal curve |
Δ |
-4398301296 = -1 · 24 · 34 · 373 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 1 -2 -4 -5 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,100,3201] |
[a1,a2,a3,a4,a6] |
Generators |
[19:-111:1] |
Generators of the group modulo torsion |
j |
6843110144/274893831 |
j-invariant |
L |
6.4565024734549 |
L(r)(E,1)/r! |
Ω |
1.0447233100276 |
Real period |
R |
0.25750448354638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998669 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118992g1 |
Quadratic twists by: -4 |