Atkin-Lehner |
2+ 3+ 5- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
78960h |
Isogeny class |
Conductor |
78960 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-38093022642150000 = -1 · 24 · 39 · 55 · 77 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -1 4 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,44800,-8666973] |
[a1,a2,a3,a4,a6] |
Generators |
[3693:775:27] |
Generators of the group modulo torsion |
j |
621481316946738944/2380813915134375 |
j-invariant |
L |
5.5766461251878 |
L(r)(E,1)/r! |
Ω |
0.18509864375687 |
Real period |
R |
6.0255937189243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985185 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39480be1 |
Quadratic twists by: -4 |