Atkin-Lehner |
2+ 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
73206p |
Isogeny class |
Conductor |
73206 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1040449536 |
Modular degree for the optimal curve |
Δ |
-1.3888366310022E+35 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -3 -2 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-926064391464,-343480532333653184] |
[a1,a2,a3,a4,a6] |
j |
-1024074375966668466862743896129521/1619330121041898938277298176 |
j-invariant |
L |
1.576678361503 |
L(r)(E,1)/r! |
Ω |
0.0024331456105359 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
81 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24402q1 10458d1 |
Quadratic twists by: -3 -7 |