Atkin-Lehner |
2- 3+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
52080bj |
Isogeny class |
Conductor |
52080 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-21020529600000000 = -1 · 212 · 32 · 58 · 72 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -6 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,66040,2425392] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:744:1] [964:31000:1] |
Generators of the group modulo torsion |
j |
7776396241319159/5131965234375 |
j-invariant |
L |
8.2973225585959 |
L(r)(E,1)/r! |
Ω |
0.24011377155579 |
Real period |
R |
0.35995621058596 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3255e1 |
Quadratic twists by: -4 |