Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103968bm |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3830400 |
Modular degree for the optimal curve |
Δ |
-120442537820616192 = -1 · 29 · 36 · 199 |
Discriminant |
Eigenvalues |
2- 3- 2 -3 -6 -5 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10432539,12969806562] |
[a1,a2,a3,a4,a6] |
Generators |
[-1127042:37216934:343] |
Generators of the group modulo torsion |
j |
-1042590744 |
j-invariant |
L |
4.4631484382144 |
L(r)(E,1)/r! |
Ω |
0.27762180609764 |
Real period |
R |
8.0381806329027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999733896 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103968bl1 11552f1 103968k1 |
Quadratic twists by: -4 -3 -19 |