Atkin-Lehner |
2- 7+ 17+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
118286h |
Isogeny class |
Conductor |
118286 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
3510144 |
Modular degree for the optimal curve |
Δ |
1041657520210313216 = 222 · 74 · 172 · 713 |
Discriminant |
Eigenvalues |
2- 2 3 7+ 4 4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1217014,513917683] |
[a1,a2,a3,a4,a6] |
j |
83026799462280412417/433843198754816 |
j-invariant |
L |
12.241944544039 |
L(r)(E,1)/r! |
Ω |
0.27822603316472 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118286z1 |
Quadratic twists by: -7 |