Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
5040f |
Isogeny class |
Conductor |
5040 |
Conductor |
∏ cp |
160 |
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] |
Generators |
[173:-3500:1] |
Generators of the group modulo torsion |
j |
308971819397054448/6565234375 |
j-invariant |
L |
4.1527514697151 |
L(r)(E,1)/r! |
Ω |
0.58983708587145 |
Real period |
R |
0.17601264693198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2520b2 20160cx2 5040c2 25200c2 |
Quadratic twists by: -4 8 -3 5 |