Atkin-Lehner |
2- 3- 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78960de |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
6389760 |
Modular degree for the optimal curve |
Δ |
-1.4101930110201E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4845120,-17593361100] |
[a1,a2,a3,a4,a6] |
Generators |
[83588447250:35769695600640:456533] |
Generators of the group modulo torsion |
j |
3070982119719227273279/34428540308108083200 |
j-invariant |
L |
8.8469917739301 |
L(r)(E,1)/r! |
Ω |
0.050880551137556 |
Real period |
R |
10.867354489267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000896 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9870p1 |
Quadratic twists by: -4 |