Atkin-Lehner |
2- 3- 23- 71- |
Signs for the Atkin-Lehner involutions |
Class |
39192j |
Isogeny class |
Conductor |
39192 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-11287296 = -1 · 28 · 33 · 23 · 71 |
Discriminant |
Eigenvalues |
2- 3- -3 0 6 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-97,371] |
[a1,a2,a3,a4,a6] |
Generators |
[5:-6:1] |
Generators of the group modulo torsion |
j |
-398353408/44091 |
j-invariant |
L |
6.8136892391043 |
L(r)(E,1)/r! |
Ω |
2.2083931904178 |
Real period |
R |
0.51422675912568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78384b1 117576c1 |
Quadratic twists by: -4 -3 |