Atkin-Lehner |
2- 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
73206bf |
Isogeny class |
Conductor |
73206 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18794496 |
Modular degree for the optimal curve |
Δ |
-3.9100111955264E+25 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 1 4 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,77815102,-143909333697] |
[a1,a2,a3,a4,a6] |
j |
1771354569918566177/1329131994863058 |
j-invariant |
L |
4.6323566851478 |
L(r)(E,1)/r! |
Ω |
0.036190286450236 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24402c1 73206bo1 |
Quadratic twists by: -3 -7 |