Atkin-Lehner |
2+ 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
2520b |
Isogeny class |
Conductor |
2520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
45378900000000 = 28 · 33 · 58 · 75 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -2 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-268287,-53485934] |
[a1,a2,a3,a4,a6] |
j |
308971819397054448/6565234375 |
j-invariant |
L |
1.6781863645135 |
L(r)(E,1)/r! |
Ω |
0.20977329556419 |
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 |
5040f2 20160b2 2520k2 12600bm2 |
Quadratic twists by: -4 8 -3 5 |