Atkin-Lehner |
2- 5+ 37- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
112850o |
Isogeny class |
Conductor |
112850 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
10438625000000 = 26 · 59 · 372 · 61 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 6 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6438,-124508] |
[a1,a2,a3,a4,a6] |
Generators |
[112:694:1] |
Generators of the group modulo torsion |
j |
1888690601881/668072000 |
j-invariant |
L |
8.5489167902278 |
L(r)(E,1)/r! |
Ω |
0.54852853657166 |
Real period |
R |
1.2987651268617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999737683 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22570b1 |
Quadratic twists by: 5 |