Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600bt |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
489600 |
Modular degree for the optimal curve |
Δ |
-294030000000000 = -1 · 210 · 35 · 510 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- -1 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-80208,-8808912] |
[a1,a2,a3,a4,a6] |
Generators |
[804:21144:1] |
Generators of the group modulo torsion |
j |
-47162500/243 |
j-invariant |
L |
7.028544495095 |
L(r)(E,1)/r! |
Ω |
0.14180151218576 |
Real period |
R |
4.9566075756792 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995278 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72600dg1 72600eb1 |
Quadratic twists by: 5 -11 |