Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
15246bm |
Isogeny class |
Conductor |
15246 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-7903611388832366592 = -1 · 214 · 38 · 73 · 118 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 11- 6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-441068,176199279] |
[a1,a2,a3,a4,a6] |
j |
-7347774183121/6119866368 |
j-invariant |
L |
5.9964457776882 |
L(r)(E,1)/r! |
Ω |
0.21415877777458 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121968gm1 5082e1 106722ho1 1386e1 |
Quadratic twists by: -4 -3 -7 -11 |