Atkin-Lehner |
2- 3- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78960df |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
26530560 = 28 · 32 · 5 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1260,-17640] |
[a1,a2,a3,a4,a6] |
Generators |
[-12261228:430849:592704] |
Generators of the group modulo torsion |
j |
864848456656/103635 |
j-invariant |
L |
8.3183106513736 |
L(r)(E,1)/r! |
Ω |
0.8012744998303 |
Real period |
R |
10.381349528473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19740h2 |
Quadratic twists by: -4 |