Atkin-Lehner |
3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
6897b |
Isogeny class |
Conductor |
6897 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
118800 |
Modular degree for the optimal curve |
Δ |
-1418758396496190387 = -1 · 35 · 119 · 195 |
Discriminant |
Eigenvalues |
0 3- 2 0 11+ 5 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-945897,358382558] |
[a1,a2,a3,a4,a6] |
j |
-39693696892928/601692057 |
j-invariant |
L |
2.7040100118919 |
L(r)(E,1)/r! |
Ω |
0.27040100118919 |
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 |
110352u1 20691i1 6897c1 |
Quadratic twists by: -4 -3 -11 |