Atkin-Lehner |
2+ 3- 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
35550v |
Isogeny class |
Conductor |
35550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
1105747200000000 = 214 · 37 · 58 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -6 -3 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-28242,888916] |
[a1,a2,a3,a4,a6] |
Generators |
[20:566:1] |
Generators of the group modulo torsion |
j |
8748450625/3883008 |
j-invariant |
L |
2.7928735495018 |
L(r)(E,1)/r! |
Ω |
0.4402652235489 |
Real period |
R |
1.5859040188255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11850y1 35550br1 |
Quadratic twists by: -3 5 |