Atkin-Lehner |
2+ 5- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
58960d |
Isogeny class |
Conductor |
58960 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
16000 |
Modular degree for the optimal curve |
Δ |
-405350000 = -1 · 24 · 55 · 112 · 67 |
Discriminant |
Eigenvalues |
2+ 1 5- 3 11- 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,100,923] |
[a1,a2,a3,a4,a6] |
Generators |
[41:275:1] |
Generators of the group modulo torsion |
j |
6843110144/25334375 |
j-invariant |
L |
9.0679565090476 |
L(r)(E,1)/r! |
Ω |
1.1970099162433 |
Real period |
R |
0.75755065902952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998874 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29480b1 |
Quadratic twists by: -4 |