Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
77658bk |
Isogeny class |
Conductor |
77658 |
Conductor |
∏ cp |
1080 |
Product of Tamagawa factors cp |
deg |
12136320 |
Modular degree for the optimal curve |
Δ |
-6.7037416337221E+23 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 3 -4 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,12729402,-35300714652] |
[a1,a2,a3,a4,a6] |
j |
19516416197375/57354780672 |
j-invariant |
L |
5.5862021214742 |
L(r)(E,1)/r! |
Ω |
0.046551684746399 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
77658d1 |
Quadratic twists by: -43 |