Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600y |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
92736 |
Modular degree for the optimal curve |
Δ |
-24422043038515200 = -1 · 235 · 37 · 52 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-143848,22352752] |
[a1,a2,a3,a4,a6] |
j |
-3214683778008145/238496514048 |
j-invariant |
L |
0.74294687498314 |
L(r)(E,1)/r! |
Ω |
0.37147343749157 |
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 |
1950f1 62400gw1 46800cv1 15600cs1 |
Quadratic twists by: -4 8 -3 5 |