Atkin-Lehner |
2- 3+ 7- 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
36582i |
Isogeny class |
Conductor |
36582 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
46176 |
Modular degree for the optimal curve |
Δ |
-10039271424 = -1 · 213 · 3 · 7 · 13 · 672 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -5 13+ -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1509,22443] |
[a1,a2,a3,a4,a6] |
Generators |
[3:132:1] |
Generators of the group modulo torsion |
j |
-380022594806737/10039271424 |
j-invariant |
L |
8.8107183306838 |
L(r)(E,1)/r! |
Ω |
1.2854823165923 |
Real period |
R |
0.26361605879395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109746f1 |
Quadratic twists by: -3 |