Atkin-Lehner |
2- 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
65072m |
Isogeny class |
Conductor |
65072 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
78624 |
Modular degree for the optimal curve |
Δ |
-1959847866368 = -1 · 212 · 78 · 83 |
Discriminant |
Eigenvalues |
2- -1 0 7+ 0 2 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18293,-948611] |
[a1,a2,a3,a4,a6] |
Generators |
[3582258939492:26535312790085:19508557888] |
Generators of the group modulo torsion |
j |
-28672000/83 |
j-invariant |
L |
4.383967768357 |
L(r)(E,1)/r! |
Ω |
0.20522064717814 |
Real period |
R |
21.362215881482 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4067a1 65072p1 |
Quadratic twists by: -4 -7 |