Atkin-Lehner |
2- 3- 5- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
60270bq |
Isogeny class |
Conductor |
60270 |
Conductor |
∏ cp |
1280 |
Product of Tamagawa factors cp |
Δ |
2769173631787500000 = 25 · 38 · 58 · 77 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2451765,-1475665983] |
[a1,a2,a3,a4,a6] |
Generators |
[-906:1923:1] |
Generators of the group modulo torsion |
j |
13853898649143943489/23537587500000 |
j-invariant |
L |
13.019550896451 |
L(r)(E,1)/r! |
Ω |
0.12066301222532 |
Real period |
R |
0.33718780760625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8610j4 |
Quadratic twists by: -7 |