Atkin-Lehner |
2- 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
81200ba |
Isogeny class |
Conductor |
81200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
435181250000 = 24 · 58 · 74 · 29 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 2 -2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5633,157738] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:536:1] [18:250:1] |
Generators of the group modulo torsion |
j |
79082438656/1740725 |
j-invariant |
L |
7.8450811245627 |
L(r)(E,1)/r! |
Ω |
0.94035401401065 |
Real period |
R |
4.1713445190104 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20300g1 16240s1 |
Quadratic twists by: -4 5 |