Atkin-Lehner |
2+ 3- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
78960p |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-3636066309120 = -1 · 210 · 38 · 5 · 72 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8776,326564] |
[a1,a2,a3,a4,a6] |
Generators |
[32:282:1] |
Generators of the group modulo torsion |
j |
-73006761637156/3550846005 |
j-invariant |
L |
7.8831160851458 |
L(r)(E,1)/r! |
Ω |
0.78017589168767 |
Real period |
R |
0.63151753413917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000166 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39480b2 |
Quadratic twists by: -4 |