Atkin-Lehner |
2- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60112z |
Isogeny class |
Conductor |
60112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1253376 |
Modular degree for the optimal curve |
Δ |
1313429987524149248 = 216 · 132 · 179 |
Discriminant |
Eigenvalues |
2- -2 4 -2 -2 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-381576,-72171788] |
[a1,a2,a3,a4,a6] |
Generators |
[-59930:111488:125] |
Generators of the group modulo torsion |
j |
12649337/2704 |
j-invariant |
L |
4.8243506235329 |
L(r)(E,1)/r! |
Ω |
0.19499892857153 |
Real period |
R |
6.1850988862405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996465 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7514c1 60112y1 |
Quadratic twists by: -4 17 |