Atkin-Lehner |
2- 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450cp |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
570240 |
Modular degree for the optimal curve |
Δ |
-106501500000 = -1 · 25 · 33 · 56 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 6 -5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-279155,56839347] |
[a1,a2,a3,a4,a6] |
Generators |
[305:-144:1] |
Generators of the group modulo torsion |
j |
-5702623460245179/252448 |
j-invariant |
L |
11.053520360917 |
L(r)(E,1)/r! |
Ω |
0.78809437051112 |
Real period |
R |
1.402563039969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72450e2 2898b1 |
Quadratic twists by: -3 5 |