Atkin-Lehner |
2- 3- 5- 11+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
78210bl |
Isogeny class |
Conductor |
78210 |
Conductor |
∏ cp |
440 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-133795411200000 = -1 · 211 · 37 · 55 · 112 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ -5 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13217,810609] |
[a1,a2,a3,a4,a6] |
Generators |
[167:-1884:1] [-121:852:1] |
Generators of the group modulo torsion |
j |
-350238632340169/183532800000 |
j-invariant |
L |
14.713491951272 |
L(r)(E,1)/r! |
Ω |
0.54328984514935 |
Real period |
R |
0.061550486785625 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26070d1 |
Quadratic twists by: -3 |