Atkin-Lehner |
2+ 3- 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
48960de |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-3248463978593280 = -1 · 210 · 317 · 5 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 5 0 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3437292,2452861496] |
[a1,a2,a3,a4,a6] |
j |
-6016521998966814976/4351616055 |
j-invariant |
L |
4.4569906348534 |
L(r)(E,1)/r! |
Ω |
0.37141588625183 |
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 |
48960fz1 6120j1 16320d1 |
Quadratic twists by: -4 8 -3 |