Atkin-Lehner |
2+ 3- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640s |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
49005526964486400 = 28 · 36 · 52 · 72 · 118 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-91516,-366016] |
[a1,a2,a3,a4,a6] |
Generators |
[-256:2520:1] |
Generators of the group modulo torsion |
j |
186906097744/108056025 |
j-invariant |
L |
7.4672121000399 |
L(r)(E,1)/r! |
Ω |
0.30027521225454 |
Real period |
R |
2.0723244879161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999925118 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9240be2 |
Quadratic twists by: -11 |