Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
5040bm |
Isogeny class |
Conductor |
5040 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-136681948519200000 = -1 · 28 · 320 · 55 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 4 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,104073,12222754] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:3150:1] |
Generators of the group modulo torsion |
j |
667990736021936/732392128125 |
j-invariant |
L |
4.278027987031 |
L(r)(E,1)/r! |
Ω |
0.21766628748265 |
Real period |
R |
1.9654067869247 |
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 |
1260h2 20160ed2 1680q2 25200dv2 |
Quadratic twists by: -4 8 -3 5 |