Atkin-Lehner |
2- 5- 37+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
121360y |
Isogeny class |
Conductor |
121360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
53248 |
Modular degree for the optimal curve |
Δ |
1273794560 = 212 · 5 · 37 · 412 |
Discriminant |
Eigenvalues |
2- -2 5- -2 0 6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-280,468] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:32:1] |
Generators of the group modulo torsion |
j |
594823321/310985 |
j-invariant |
L |
4.0880835249751 |
L(r)(E,1)/r! |
Ω |
1.3451091008972 |
Real period |
R |
1.5196103853889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016061 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7585b1 |
Quadratic twists by: -4 |