Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600bm |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-64307664300000000 = -1 · 28 · 3 · 58 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11- -2 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,44367,11673363] |
[a1,a2,a3,a4,a6] |
Generators |
[263:6450:1] |
Generators of the group modulo torsion |
j |
11264/75 |
j-invariant |
L |
7.5483071432886 |
L(r)(E,1)/r! |
Ω |
0.25343226591563 |
Real period |
R |
3.7230397223256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998753 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14520bg1 72600ds1 |
Quadratic twists by: 5 -11 |