Atkin-Lehner |
2- 5- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
73150bp |
Isogeny class |
Conductor |
73150 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-10486784000 = -1 · 213 · 53 · 72 · 11 · 19 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 11- -5 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3003,62281] |
[a1,a2,a3,a4,a6] |
Generators |
[31:-30:1] [35:-58:1] |
Generators of the group modulo torsion |
j |
-23960105966789/83894272 |
j-invariant |
L |
12.583027402021 |
L(r)(E,1)/r! |
Ω |
1.2894353569082 |
Real period |
R |
0.18766454238809 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999795 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73150y1 |
Quadratic twists by: 5 |