Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3822i |
Isogeny class |
Conductor |
3822 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-167669978112 = -1 · 210 · 32 · 72 · 135 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 3 13- -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2034,-41292] |
[a1,a2,a3,a4,a6] |
Generators |
[84:582:1] |
Generators of the group modulo torsion |
j |
-19007021070457/3421836288 |
j-invariant |
L |
2.656503047684 |
L(r)(E,1)/r! |
Ω |
0.35198254291436 |
Real period |
R |
0.37736289784269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30576da1 122304dk1 11466cn1 95550ji1 |
Quadratic twists by: -4 8 -3 5 |