Atkin-Lehner |
2- 3- 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
78660m |
Isogeny class |
Conductor |
78660 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-17202942000 = -1 · 24 · 39 · 53 · 19 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 3 -1 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-588,-8363] |
[a1,a2,a3,a4,a6] |
Generators |
[4195:12312:125] |
Generators of the group modulo torsion |
j |
-1927561216/1474875 |
j-invariant |
L |
5.642454716944 |
L(r)(E,1)/r! |
Ω |
0.46922408262761 |
Real period |
R |
6.012537427951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26220k1 |
Quadratic twists by: -3 |