Atkin-Lehner |
2- 3- 5+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
78660i |
Isogeny class |
Conductor |
78660 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
635904 |
Modular degree for the optimal curve |
Δ |
-50973831004896000 = -1 · 28 · 312 · 53 · 194 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -4 -4 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-265728,53830852] |
[a1,a2,a3,a4,a6] |
Generators |
[44:6498:1] |
Generators of the group modulo torsion |
j |
-11119062591471616/273136525875 |
j-invariant |
L |
4.9254554834637 |
L(r)(E,1)/r! |
Ω |
0.35530636202192 |
Real period |
R |
1.1552132679327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000812 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26220j1 |
Quadratic twists by: -3 |