Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
112800ca |
Isogeny class |
Conductor |
112800 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
465920 |
Modular degree for the optimal curve |
Δ |
4795723584000000 = 212 · 313 · 56 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 3 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-69533,-6244437] |
[a1,a2,a3,a4,a6] |
Generators |
[-191:324:1] |
Generators of the group modulo torsion |
j |
580928771584/74933181 |
j-invariant |
L |
9.5874462553809 |
L(r)(E,1)/r! |
Ω |
0.29650116593968 |
Real period |
R |
1.2436643628442 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999804292 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112800i1 4512d1 |
Quadratic twists by: -4 5 |