Atkin-Lehner |
2+ 3- 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
116280w |
Isogeny class |
Conductor |
116280 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-55816755367680 = -1 · 28 · 39 · 5 · 17 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2553,-356006] |
[a1,a2,a3,a4,a6] |
j |
9860720816/299086695 |
j-invariant |
L |
4.8484105100291 |
L(r)(E,1)/r! |
Ω |
0.3030256921395 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38760y1 |
Quadratic twists by: -3 |