Atkin-Lehner |
11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
3971a |
Isogeny class |
Conductor |
3971 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-22605122407571 = -1 · 113 · 198 |
Discriminant |
Eigenvalues |
0 -1 -3 -4 11- -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-9867,-437910] |
[a1,a2,a3,a4,a6] |
Generators |
[184:1985:1] |
Generators of the group modulo torsion |
j |
-2258403328/480491 |
j-invariant |
L |
1.3496735766807 |
L(r)(E,1)/r! |
Ω |
0.23680994619422 |
Real period |
R |
0.94989927462317 |
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 |
63536t1 35739o1 99275d1 43681i1 |
Quadratic twists by: -4 -3 5 -11 |