Atkin-Lehner |
2+ 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
64600f |
Isogeny class |
Conductor |
64600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-116683750000 = -1 · 24 · 57 · 173 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 3 2 3 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4175,-105125] |
[a1,a2,a3,a4,a6] |
j |
-32192384256/466735 |
j-invariant |
L |
3.5605108525214 |
L(r)(E,1)/r! |
Ω |
0.29670923725129 |
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 |
129200p1 12920k1 |
Quadratic twists by: -4 5 |