Atkin-Lehner |
3+ 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
78045f |
Isogeny class |
Conductor |
78045 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
406560 |
Modular degree for the optimal curve |
Δ |
8164202028889005 = 311 · 5 · 118 · 43 |
Discriminant |
Eigenvalues |
0 3+ 5- 0 11- -6 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-64775,-4600762] |
[a1,a2,a3,a4,a6] |
j |
140220399616/38086605 |
j-invariant |
L |
0.91606284439219 |
L(r)(E,1)/r! |
Ω |
0.30535428054457 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78045c1 |
Quadratic twists by: -11 |