Atkin-Lehner |
2- 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
3248i |
Isogeny class |
Conductor |
3248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-3794251150262272 = -1 · 228 · 75 · 292 |
Discriminant |
Eigenvalues |
2- -2 2 7+ -4 -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33992,3809908] |
[a1,a2,a3,a4,a6] |
j |
-1060490285861833/926330847232 |
j-invariant |
L |
0.80841678855333 |
L(r)(E,1)/r! |
Ω |
0.40420839427667 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
406d1 12992bd1 29232bf1 81200bo1 |
Quadratic twists by: -4 8 -3 5 |