Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
6960s |
Isogeny class |
Conductor |
6960 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
17472 |
Modular degree for the optimal curve |
Δ |
-27187500000000 = -1 · 28 · 3 · 513 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 5 2 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6385,-320725] |
[a1,a2,a3,a4,a6] |
j |
-112469423174656/106201171875 |
j-invariant |
L |
3.3421506400067 |
L(r)(E,1)/r! |
Ω |
0.25708851076975 |
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 |
3480b1 27840ch1 20880j1 34800j1 |
Quadratic twists by: -4 8 -3 5 |