Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728db |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-1058212590572592 = -1 · 24 · 39 · 76 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- -4 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-74088,7918155] |
[a1,a2,a3,a4,a6] |
j |
-1213857792/28561 |
j-invariant |
L |
3.9275065618694 |
L(r)(E,1)/r! |
Ω |
0.49093832680101 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22932e1 91728dc1 1872m1 |
Quadratic twists by: -4 -3 -7 |