Atkin-Lehner |
3+ 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
78045j |
Isogeny class |
Conductor |
78045 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
51419558025 = 33 · 52 · 116 · 43 |
Discriminant |
Eigenvalues |
-1 3+ 5- -4 11- -2 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2725,-54790] |
[a1,a2,a3,a4,a6] |
j |
1263214441/29025 |
j-invariant |
L |
0.66170553222631 |
L(r)(E,1)/r! |
Ω |
0.66170547984645 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
645b1 |
Quadratic twists by: -11 |