Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3822m |
Isogeny class |
Conductor |
3822 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-24356663525376 = -1 · 216 · 35 · 76 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-957,-237800] |
[a1,a2,a3,a4,a6] |
Generators |
[116:1044:1] |
Generators of the group modulo torsion |
j |
-822656953/207028224 |
j-invariant |
L |
2.715856329915 |
L(r)(E,1)/r! |
Ω |
0.30073283868781 |
Real period |
R |
1.8061588097696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30576br1 122304by1 11466bz1 95550hl1 |
Quadratic twists by: -4 8 -3 5 |