Atkin-Lehner |
2- 5- 37+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
112850q |
Isogeny class |
Conductor |
112850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-564250 = -1 · 2 · 53 · 37 · 61 |
Discriminant |
Eigenvalues |
2- 2 5- 0 -2 2 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,17,31] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:1067:216] |
Generators of the group modulo torsion |
j |
4330747/4514 |
j-invariant |
L |
16.997177621113 |
L(r)(E,1)/r! |
Ω |
1.9259938677784 |
Real period |
R |
4.4125731328129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018398 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112850h1 |
Quadratic twists by: 5 |