Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103968cc |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
239616 |
Modular degree for the optimal curve |
Δ |
-26852888933568 = -1 · 26 · 319 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 1 0 5 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14421,-711664] |
[a1,a2,a3,a4,a6] |
j |
-19692240832/1594323 |
j-invariant |
L |
1.7346087992641 |
L(r)(E,1)/r! |
Ω |
0.21682607876289 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103968ce1 34656h1 103968m1 |
Quadratic twists by: -4 -3 -19 |