Atkin-Lehner |
2+ 3+ 5+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650c |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
79296 |
Modular degree for the optimal curve |
Δ |
187900800 = 27 · 3 · 52 · 232 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -2 -5 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-155,285] |
[a1,a2,a3,a4,a6] |
Generators |
[1:11:1] |
Generators of the group modulo torsion |
j |
16639850785/7516032 |
j-invariant |
L |
3.0409927261525 |
L(r)(E,1)/r! |
Ω |
1.6107087817816 |
Real period |
R |
0.94399210096045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999745267 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127650dt1 |
Quadratic twists by: 5 |