Atkin-Lehner |
3- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
78213j |
Isogeny class |
Conductor |
78213 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-125472305545290981 = -1 · 32 · 299 · 312 |
Discriminant |
Eigenvalues |
-1 3- -2 -4 0 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,82821,14369454] |
[a1,a2,a3,a4,a6] |
Generators |
[3789:232047:1] |
Generators of the group modulo torsion |
j |
4330747/8649 |
j-invariant |
L |
2.7452152025791 |
L(r)(E,1)/r! |
Ω |
0.22803641208538 |
Real period |
R |
6.0192474899601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000164 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78213e2 |
Quadratic twists by: 29 |